Shortcuts
Please wait while page loads.
SISSA Library . Default .
PageMenu- Main Menu-
Page content

Catalogue Display

Introduction to Riemannian Manifolds

Introduction to Riemannian Manifolds
British LibraryResolver for RSN-50037
Catalogo Nazionale SBNResolver for RSN-50037
WorldCat Resolver for RSN-50037
Google ScholarResolver for RSN-50037
GoogleBooksResolver for RSN-50037
ICTP LibraryResolver for RSN-50037
.
Share Link
Catalogue Information
Field name Details
Dewey Class 514.34
Title Introduction to Riemannian Manifolds (M) / John M. Lee
Author Lee, John M. , 1950-
Edition statement Second edition
Publication Cham : Springer International Publishing , 2018
Physical Details xiii, 437 pages : ill. ; 24 cm.
Series Graduate texts in mathematics ; 176
ISBN 9783319917542
Summary Note This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee's earlier book, Riemannian Manifolds: An Introduction to Curvature. Numerous exercises and problem sets provide the student with opportunities to practice and develop skills; appendices contain a brief review of essential background material. While demonstrating the uses of most of the main technical tools needed for a careful study of Riemannian manifolds, this text focuses on ensuring that the student develops an intimate acquaintance with the geometric meaning of curvature. The reasonably broad coverage begins with a treatment of indispensable tools for working with Riemannian metrics such as connections and geodesics. Several topics have been added, including an expanded treatment of pseudo-Riemannian metrics, a more detailed treatment of homogeneous spaces and invariant metrics, a completely revamped treatment of comparison theory based on Riccati equations, and a handful of new local-to-global theorems, to name just a few highlights. Reviews of the first edition: Arguments and proofs are written down precisely and clearly. The expertise of the author is reflected in many valuable comments and remarks on the recent developments of the subjects. Serious readers would have the challenges of solving the exercises and problems. The book is probably one of the most easily accessible introductions to Riemannian geometry. (M.C. Leung, MathReview) The book's aim is to develop tools and intuition for studying the central unifying theme in Riemannian geometry, which is the notion of curvature and its relation with topology. The main ideas of the subject, motivated as in the original papers, are introduced here in an intuitive and accessible way...The book is an excellent introduction designed for a one-semester graduate course, containing exercises and problems which encourage students to practice working with the new notions and develop skills for later use. By citing suitable references for detailed study, the reader is stimulated to inquire into further research. (C.-L. Bejan, zBMATH).:
Contents note 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.
Links to Related Works
Subject References:
Authors:
Series:
Classification:
.
ISBD Display Catalogue Record 50037
.
Tag Display Catalogue Record 50037
.
Related Works Catalogue Record 50037
.
Marc XML Catalogue Record 50037
.
Add Title to Basket Catalogue Record 50037
.
Catalogue Information 50037 Beginning of record . Catalogue Information 50037 Top of page .
Item Information
Barcode Shelf Location Collection Volume Ref. Branch Status Due Date
0000000044447 514.764 LEE
 General   SISSA . . Available .  
Download Title Catalogue Record 50037
. Catalogue Record 50037 ItemInfo Beginning of record . Catalogue Record 50037 ItemInfo Top of page .
Most Popular Titles
# Author Title
1 . Jost, Jürgen 1956- 1 . Nonpositive curvature: geometric and analytic aspects 1
2 . Jost, Jürgen 1956- 2 . Calculus of variations 2
3 . Jost, Jürgen 1956- 3 . Harmonic maps between surfaces: with a special chapter on conformal mappings 3
4  . Geometric analysis and the calculus of variations for Stefan Hildebrandt 4
5 . Jost, Jürgen 1956- 5 . Compact Riemann surfaces: an introduction to contemporary mathematics 5
.

Reviews


This item has not been rated.    Add a Review and/or Rating50037
Quick Search