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Monday, April 27, 2020 | History

4 edition of **Riemannian Geometry Fiber Bundles Kaluza-Klein Theories and All That (World Scientific Lecture Notes in Physics, Vol 16)** found in the catalog.

- 130 Want to read
- 24 Currently reading

Published
**September 1988** by World Scientific Pub Co Inc .

Written in English

- Differential & Riemannian geometry,
- PHYSICS,
- Fiber bundles (Mathematics),
- Geometry, Riemannian,
- Kaluza-Klein theories,
- Science/Mathematics

The Physical Object | |
---|---|

Format | Paperback |

Number of Pages | 360 |

ID Numbers | |

Open Library | OL13212653M |

ISBN 10 | 9971504278 |

ISBN 10 | 9789971504274 |

Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e. with an inner product on the tangent space at each point that varies smoothly from point to point. This gives, in particular, local notions of angle, length o. Search result for arkadiusz-jadczyk: Quantum Future(), Riemannian Geometry, Fibre Bundles, Kaluza-klein Theories And All That(), Riemannian Geometry, Fibre Bundles, Kaluza-klein Theories And All That(), Fields and Geometry(), The Cassiopaea Experiment Transcripts (), Fields And Geometry - . Edition, Motorola L2 Manual, Riemannian Geometry Fibre Bundles Kaluza Klein Theories And All That Coquereaux Robert Jadczyk Arkadiusz, Start Stop Wiring Diagram With Indicator Light, Paleo Smoothie Recipes 25 Delicious Recipes For Healthy Living English Edition, Tree Diagram With.

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RIEMANNIAN GEOMETRY, FIBER BUNDLES, KALUZA-KLEIN THEORIES AND ALL THAT. by R Coquereaux (CNRS-Luminy) & A Jadczyk (Wroclaw) This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action.

This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action.

It would definitely prove interesting reading to physicists and mathematicians, theoretical and experimental. Read more Read lessPrice: $ Riemannian Geometry, Fibre Bundles, Kaluza-Klein Theories and All That book. Read reviews from world’s largest community for readers.

This book discusses 5/5. Riemannian Geometry, Fiber Bundles, Kaluza-Klein Theories and All That This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action.

Description This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action.

It would definitely prove interesting reading to physicists and mathematicians, theoretical and experimental.5/5(1). This book discusses the geometrical aspects of Kaluza-Klein theories.

The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action. It would definitely prove interesting reading to phy. Riemannian Geometry, Fiber Bundles, Kaluza-Klein Theories and All That Cited by: Riemannian Geometry Fiber Bundles Kaluza-Klein Theories and All That (World Scientific Lecture Notes in Physics, Vol 16) by Robert Coquereaux/ Arkadiusz Jadczyk.

New; paperback; Condition New ISBN 10 ISBN 13 Seller. Generalised Kaluza-Klein metrics (action of a bundle of groups) Motivations. G×G invariant metrics on the tautological bundle P×G.

Dimensional reduction and inconsistency of this ansatz. The group of automorphisms of a principal bundle P. Riemannian Geometry Fiber Bundles Kaluza-Klein Theories and All That book structure group and associated bundles.

The group Aut P of automorphisms of P. In modern geometry, the extra fifth dimension can be understood to be the circle group U(1), as electromagnetism can essentially be formulated as a gauge theory on a fiber bundle, the circle Riemannian Geometry Fiber Bundles Kaluza-Klein Theories and All That book, with gauge group U(1).

In Kaluza–Klein theory this group suggests that gauge symmetry is the symmetry of circular compact dimensions. Get this from a library. Riemannian geometry, fiber bundles, Kaluza-Klein theories and all that. [Robert Coquereaux; Arkadiusz Jadczyk]. Riemannian Geometry, Fibre Bundles, Kaluza-Klein Theories and All That (World Scientific Lecture Notes in Physics Volume 16) by Coquereaux, R and jadczyk, A.

World Scientific, Volume This is an ex-library book and may have the usual library/used-book markings book has soft covers. In fair condition, suitable as a study copy.

《Riemannian geometry, fiber bundles, Kaluza-Klein theories and all that》. Singapore: World Scientific. ISBN X. Wesson, Paul S. 《Five-dimensional physics: Classical and quantum consequences of Kaluza–Klein cosmology》.

Singapore: World Scientific. Coquereaux, A. Jadczyk, Riemannian Geometry, Fiber Bundles, Kaluza–Klein Theories, and All That, World Scientific, Singapore, Jordan-Kaluza-Klein type unified theories of gauge and Author: David Betounes.

An Introduction to Riemannian Geometry with Applications to Mechanics and Relativity. This book covers the following topics: Differentiable Manifolds, Differential Forms, Riemannian Manifolds, Curvature, Geometric Mechanics, Relativity. Book May with 3, An Introduction to Riemannian Geometry.

Sigmundur Gudm undsson (Lund University) purpose is to introduce the beautiful theory of Riemannian : Sigmundur Gudmundsson. Most of the results discussed here will be used freely in all chapters of the book; however, we should mention that the reader who wants to recast Riemannian geometry in the general framework of the theory of connections should jump directly to Ch.6, where these notions are developed from scratch.

There was a problem filtering reviews right now. Please try again later. This book by Bishop and Crittenden is one of the all-time classics of differential geometry, but it is still one of the most modern books on the subject. If you didn't look at the date on the copyright page, Cited by: theory of relativity (GR), which is a non-Abelian gauge theory of a special type (see Secs.

3,7). The other gauge theories emerged in a slow and complicated process gradually from GR, and their common geometrical structure — best expressed in terms of connections of ﬁber bundles — is.

Arkadiusz Jadczyk’s books. Arkadiusz Jadczyk Average rating: Riemannian Geometry, Fiber Bundles, Kaluza Klein Theories And All That by. try again. Rate this book.

Clear rating. 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars. Riemannian Geometry, Fiber Bundles, Kaluza-Klein Theories and All Thata. Robert Coquereaux,/5.

Riemannian geometry is characterized, and research is oriented towards and shaped by concepts (geodesics, connections, curvature,) andobjectives,inparticularto understand certain classes of (compact) Riemannian manifolds de?ned by curvature conditions (constant or positive or negative curvature,). Bywayofcontrast,g- metric analysis is a perhaps somewhat less systematic collection of 4/5(1).

Applications of Riemannian submersions in Kaluza-Klein theory have been given in detail in the book [] and papers [] and [40]; therefore, in the second section of this chapter, we give brief information for the Kaluza-Klein theory in terms of principal fiber bundles and Riemannian submersions.

Two basic geometric approaches to the modern theory of gauge fields are analyzed and compared. The first approach is an extension of the Kaluza-Klein unified theory of gravity and electromagnetism ().

The second approach generalizes Cartan's formulation () of Riemannian geometry and GR which now is transformed to fiber bundle theory. The goal of this paper is to show.

I would use this book for a second course in Riemmanian Geometry, assuming the student's familiarity with differentiable manifolds and fiber bundles and a first course in Riemannian Geometry, such as for instance material covered in Jost's book in the chapters Discussion in higher differential geometry of Kaluza-Klein compactification along principal ∞-bundles, relating to double field theory, T-folds, non-abelian T-duality, type II geometry, exceptional geometry: Luigi Alfonsi, Global Double Field Theory is Higher Kaluza-Klein Theory (arXiv).

Definition. If M is a topological manifold and π: E → M a vector bundle on M, then a metric on E is a bundle map k: E × M E → M × R from the fiber product of E with itself to the trivial bundle with fiber R such that the restriction of k to each fibre over M is a nondegenerate bilinear map of vector spaces.

Coquereaux R and Esposito-Farèse G The theory of Kaluza-Klein-Jordan-Thiry revisited Ann. Inst. Poincaré 52 [21] Coquereaux R and Jadczyk A Riemannian geometry, fiber bundles, Kaluza-Klein theories and all that (Lecture Notes in Physics) (Singapore: World Scientific)Cited by: 3. Riemannian geometry, fiber bundles, Kaluza-Klein theories and all that Book Coquereaux, R ; Jadczyk, A This book discusses the geometrical aspects of Kaluza-Klein theories.

The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action. This choice of gauge, yielding a Riemannian theory, forces the internal metric to play no dynamical role in the theory, as is usually assumed to be the case in non‐Abelian gauge theories.

Riemannian Geometry, Fiber Bundles, Kaluza-Klein Theories, and All That (World Scientific, Singapore, ). Google Scholar; by: 6. Natural Operations in Differential Geometry. This book is a monographical work on natural bundles and natural operators in differential geometry and this book tries to be a rather comprehensive textbook on all basic structures from the theory of jets which appear in different branches of differential geometry.

Two basic geometric approaches to the modern theory of gauge fields are analyzed and compared. The first approach is an extension of the Kaluza-Klein unified theory of gravity and electromagnetism (). The second approach generalizes Cartan's formulation () of Riemannian geometry and GR which now is transformed to fiber bundle theory.

The goal of this paper is to show Author: N. Konopleva. Discover Book Depository's huge selection of Robert Coquereaux books online. Free delivery worldwide on over 20 million titles.

Fibre Bundles, Kaluza-klein Theories And All That. Robert Coquereaux. 01 Mar Hardback. US$ Riemannian Geometry, Fibre Bundles, Kaluza-klein Theories And All That. Robert Coquereaux. 01 Sep However, in Riemannian geometry we will usually focus on vector bundles, in particular a special kind of vector bundle called the tangent bundle, which consists of the tangent vectors at a point.

Now there is more than one way to parallel transport a mathematical object, which means that there are many choices of a connection. "This book is based on the author’s graduate-level lecture notes. One of the strengths of this book is the fact that the author manages in a page volume to cover important themes in Riemannian geometry and fiber bundles.

The book contains some nice examples. The topics are well-closed and the content is well-organized 1/5(1). Coquereaux and A. Jadcyzk, Riemannian Geometry, Fiber Bundles,Kaluza-Klein Theories and All That, World Scientific Press, Singapore () zbMATH Google Scholar [CK] A.

Connes and M. Karoubi, "Caractere Multiplicatif d'un Module de Fredholm", K-Theory 2, p. () MathSciNet zbMATH CrossRef Google ScholarCited by: This book (Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers) contains detailed solutions to core exercises on differentiable manifolds, Lie groups, fiber bundles, and Riemannian geometry.

It should be helpful to anyone who needs to aquire a solid working technique in these fields and to students who. Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and self-contained exposition of recent developments in Riemannian submersions and maps relevant to complex geometry, focusing particularly on novel submersions, Hermitian manifolds, and K{a}hlerian manifolds.

Riemannian submersions have long been an effective tool to obtain new manifolds and. With this many diverse titles available in pre-owned condition, it becomes easier to see how students all over American can save money when looking for affordable college text books.

Make sure you can join their number now - buy cheap non-Euclidean textbooks. a fibre bundle is given by using a theorem of Blumenthal. This result is related to the construction of a Finslferian generalization of usually Kaluzar Klein theories which uses Riemannian metrics.

Keywords: fibre bundle, regular Lagrangian, Euler-Lagrange equa-tions, semispray, spray, Finsler fundamental function, Kaluza-Klein theory. An action of a Lie group G on a bundle π:E→M is said to be transverse if it is projectable and if the orbits of G on E are diffeomorphic under π to the orbits of G on erse group actions on bundles are completely classified in terms of the pullback bundle construction for G-invariant classification result is used to give a full characterization of the G invariant sections Cited by: 4.

Get this from a library! Differential geometry and mathematical physics. Part II, Fibre bundles, topology and gauge fields. [Gerd Rudolph; Matthias Schmidt, (Physicist)] -- The book is devoted to the study of the geometrical and topological structure of gauge theories.

It consists of the following three building blocks: Geometry and topology of fibre bundles. Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties.

Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of /5(2).

I do not know an easy book. Perhaps Fredrik's book is the one you should use. Singer and Thorpe's Lecture Notes on Elementary topology and Geometry discusses geometry on oriented surfaces from the point of view of connections on circle bundles (a circle bundle is a principal bundle).

It is incredibly well written. The case of two dimensional Riemannian geometry is intuitive and has .