11 edition of **Connections, Curvature and Cohomology** found in the catalog.

- 368 Want to read
- 37 Currently reading

Published
**September 1975**
by Academic Pr
.

Written in English

- Connections (Mathematics),
- Curvature,
- Homology theory

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

Format | Hardcover |

Number of Pages | 614 |

ID Numbers | |

Open Library | OL9491452M |

ISBN 10 | 0123027039 |

ISBN 10 | 9780123027030 |

Connections, Curvature, and Cohomology. Vol. 2: Lie Groups, Principal Bundles, and Characteristic Classes (Pure and Applied Mathematics Series; v. II) by Werner Hildbert Greub, Stephen Halperin, Ray Vanstone, Vyacheslav L. Girko Hardcover, Pages, Published ISBN / ISBN / Pages: I'm not sure either how advanced you'd consider this or how much of your interests it covers, but I recently spent some time referring to Greub, Halperin, and Vanstone's Connections, Curvature, and Cohomology. I'll also put in a second for Wells's Differential Analysis on .

Connections, curvature, and characteristic classes Series Graduate texts in mathematics, ; Note Textbook for graduates. ISBN () (online) (eBook). Connections, Curvature, And Cohomology. Vol. 2: Lie Groups, Principal Bundles, And Characteristic Classes (pure And Applied Mathematics Series V. ii) by Werner Hildbert Greub / / English / PDF.

Differential Geometry: Connections, Curvature, And Characteristic Classes Exercises throughout the book test the reader’s understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. A knowledge of de Rham cohomology is. Bull. Amer. Math. Soc. Vol Number 5 (), Review: Werner Greub, Stephen Halperin and Ray Vanstone, Connections, curvature, and cohomology H. SamelsonAuthor: H. Samelson.

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Buy Connections, Curvature, and Cohomology. Vol. I: De Rham Cohomology of Manifolds and Vector Bundles (Pure and Applied Mathematics; I) on FREE SHIPPING on qualified orders.

This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal by: 1.

This entry is about the book. Werner Greub, Stephen Halperin, Ray Vanstone. Connections, Curvature, and Cohomology. Academic Press () on Chern-Weil theory: principal bundles with connections and their characteristic classes. Related books are.

Theodore Frankel, The Geometry of Physics - An Introduction; Contents. Purchase Connections, Curvature, and Cohomology V1, Volume 47A - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. Connections, curvature, and cohomology Werner Greub, Stephen Halperin, Ray Vanstone.

De Rham cohomology of manifolds and vector bundlesv. Lie groups, principal bundles, and characteristic classesv. Cohomology of principal bundles and homogeneous spaces You can write a book review and share your experiences.

Other readers. : Connections, Curvature, and Cohomology. Vol. 2: Lie Groups, Principal Bundles, and Characteristic Classes (Pure and Applied Mathematics Series; v. II) () by Werner Hildbert Greub; Stephen Halperin; Ray Vanstone and a great selection of similar New, Used and Collectible Books available now at great Range: $ - $ Additional Physical Format: Online version: Greub, Werner Hildbert, Connections, curvature, and cohomology.

New York, Academic Press, Connections, Curvature, and Cohomology: Cohomology of principal bundles and homogeneous spaces Part 3 of Connections, Curvature, and Cohomology, Stephen Halperin, ISBNVolume 47 of Monographs and textbooks in pure and applied mathematics Volume 47 of Pure and applied mathematics: a series of monographs and textbooks.

Connections, curvature, and cohomology. 1, De Rham cohomology of manifolds and vector bundles. New York: Academic Press, © (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Werner Hildbert Greub; Stephen Halperin; Ray Vanstone.

Purchase Connections, Curvature, and Cohomology Volume 3, Volume 47 - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. Main Connections, Curvature, and Cohomology: De Rham Cohomology of Manifolds and Vector Bundles. Connections, Curvature, and Cohomology: De Rham Cohomology of Manifolds and Vector Bundles Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

Free ebooks. Cohomology,Connections, Curvature and Characteristic Classes. This note explains the following topics: Cohomology, The Mayer Vietoris Sequence, Compactly Supported Cohomology and Poincare Duality, The Kunneth Formula for deRham Cohomology, Leray-Hirsch Theorem, Morse Theory, The complex projective space.

Author(s): David Mond. Cohomology, Connections, Curvature and Characteristic Classes David Mond Octo 1 Introduction Let’s begin with a little vector analysis (also known as \Physics").

Consider a point source of uid, such as a burst water-main, on a perfectly uniform plane. Thewater spreadsout uniformlyfromthe source, witha uniformdepth, andsowe can measure.

Differential geometry, as its name implies, is the study of geometry using differential calculus. It dates back to Newton and Leibniz in the seventeenth century, but it was not until the nineteenth century, with the work of Gauss on surfaces and Riemann on the curvature tensor, that differential geometry flourished and its modern foundation was.

Differential Geometry: Connections, Curvature, and Characteristic Classes - Ebook written by Loring W. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Differential Geometry: Connections, Curvature, and Characteristic Classes.

Cohomology,Connections, Curvature and Characteristic Classes by David Mond. Download Book (Respecting the intellectual property of others is utmost important to us, we make every effort to make sure we only link to legitimate sites, such as those sites owned by authors and publishers.

The first half of the book is an introduction to the de Rham cohomology, going through the construction and establishing some basic properties. The style is comparable to how (co)homology is introduced in an introductory algebraic topology text, except that it slowly introduces the theory of.

The set-up mentioned in your question also appears in the paper "Differential characters and cohomology of the moduli of flat Connections" by Marco Castrillón López, Roberto Ferreiro Pérez.

The desired computation of the curvature is in proposition 3 on page 6, and uses equivariant cohomology in the Cartan model. Hope this helps. Sectional curvature is a further, equivalent but more geometrical, description of the curvature of Riemannian manifolds.

It is a function () which depends on a section (i.e. a 2-plane in the tangent spaces). It is the Gauss curvature of the -section at p; here -section is a locally defined piece of surface which has the plane as a tangent plane at p, obtained from geodesics which start at p in.

Buy Differential Geometry: Connections, Curvature, and Characteristic Classes (Graduate Texts in Mathematics) 1st ed. by Tu, Loring W. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(9). De Rham cohomology is the cohomology of differential forms.

This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology.

The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their.Connections, curvature, and cohomology [by] Werner Greub, Stephen Halperin, and Ray Vanstone Academic Press New York Wikipedia Citation Please see Wikipedia's template documentation for further citation fields that may be required.After the first chapter, it becomes necessary to understand and manipulate differential forms.

A knowledge of de Rham cohomology is required for the last third of the text. Chern), applications, and culminating in a beautiful detailed exposition of principle bundles (connections, curvature, covariant derivatives, etc.). There are also two 5/5(9).