M M Postnikov

(Author)

Geometry VI: Riemannian Geometry (Softcover Reprint of the Original 1st 2001)Paperback - Softcover Reprint of the Original 1st 2001, 9 December 2010

Geometry VI: Riemannian Geometry (Softcover Reprint of the Original 1st 2001)
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Part of Series
Encyclopaedia of Mathematical Sciences
Print Length
504 pages
Language
English
Publisher
Springer
Date Published
9 Dec 2010
ISBN-10
3642074340
ISBN-13
9783642074349

Description

The original Russian edition of this book is the fifth in my series "Lectures on Geometry. " Therefore, to make the presentation relatively independent and self-contained in the English translation, I have added supplementary chapters in a special addendum (Chaps. 3Q-36), in which the necessary facts from manifold theory and vector bundle theory are briefly summarized without proofs as a rule. In the original edition, the book is divided not into chapters but into lec- tures. This is explained by its origin as classroom lectures that I gave. The principal distinction between chapters and lectures is that the material of each chapter should be complete to a certain extent and the length of chapters can differ, while, in contrast, all lectures should be approximately the same in length and the topic of any lecture can change suddenly in the middle. For the series "Encyclopedia of Mathematical Sciences," the origin of a book has no significance, and the name "chapter" is more usual. Therefore, the name of subdivisions was changed in the translation, although no structural surgery was performed. I have also added a brief bibliography, which was absent in the original edition. The first ten chapters are devoted to the geometry of affine connection spaces. In the first chapter, I present the main properties of geodesics in these spaces. Chapter 2 is devoted to the formalism of covariant derivatives, torsion tensor, and curvature tensor. The major part of Chap.

Product Details

Author:
M M Postnikov
Book Edition:
Softcover Reprint of the Original 1st 2001
Book Format:
Paperback
Country of Origin:
NL
Date Published:
9 December 2010
Dimensions:
23.39 x 15.6 x 2.67 cm
ISBN-10:
3642074340
ISBN-13:
9783642074349
Language:
English
Location:
Berlin, Heidelberg
Pages:
504
Publisher:
Weight:
725.75 gm

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