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Introduction to Riemannian manifolds

Lee, John M.

Introduction to Riemannian manifolds

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to Riemannian manifoldsby John M. Lee.
Author:	Lee, John M.
Published:	Cham :Springer International Publishing :2018.
Description:	xiii, 437 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Riemannian manifolds.
Online resource:	https://doi.org/10.1007/978-3-319-91755-9
ISBN:	9783319917559$q(electronic bk.)

Introduction to Riemannian manifolds
Lee, John M.

Introduction to Riemannian manifolds[electronic resource] /by John M. Lee. - 2nd ed. - Cham :Springer International Publishing :2018. - xiii, 437 p. :ill., digital ;24 cm. - Graduate texts in mathematics,1760072-5285 ;. - Graduate texts in mathematics ;129..

Preface -- 1. What Is Curvature? -- 2. Riemannian Metrics -- 3. Model Riemannian Manifolds -- 4. Connections -- 5. The Levi-Cevita Connection -- 6. Geodesics and Distance -- 7. Curvature -- 8. Riemannian Submanifolds -- 9. The Gauss-Bonnet Theorem -- 10. Jacobi Fields -- 11. Comparison Theory -- 12. Curvature and Topology -- Appendix A: Review of Smooth Manifolds -- Appendix B: Review of Tensors -- Appendix C: Review of Lie Groups -- References -- Notation Index -- Subject Index.

ISBN: 9783319917559$q(electronic bk.)

Standard No.: 10.1007/978-3-319-91755-9doiSubjects--Topical Terms:

190949
Riemannian manifolds.

LC Class. No.: QA649 / .L445 2018

Dewey Class. No.: 516.373

Introduction to Riemannian manifolds
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245 1 0 $a Introduction to Riemannian manifolds $h [electronic resource] / $c by John M. Lee.
250 $a 2nd ed.
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300 $a xiii, 437 p. : $b ill., digital ; $c 24 cm.
490 1 $a Graduate texts in mathematics, $x 0072-5285 ; $v 176
505 0 $a Preface -- 1. What Is Curvature? -- 2. Riemannian Metrics -- 3. Model Riemannian Manifolds -- 4. Connections -- 5. The Levi-Cevita Connection -- 6. Geodesics and Distance -- 7. Curvature -- 8. Riemannian Submanifolds -- 9. The Gauss-Bonnet Theorem -- 10. Jacobi Fields -- 11. Comparison Theory -- 12. Curvature and Topology -- Appendix A: Review of Smooth Manifolds -- Appendix B: Review of Tensors -- Appendix C: Review of Lie Groups -- References -- Notation Index -- Subject Index.
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