Skip to content
Register Sign in Wishlist

Riemannian Geometry
A Modern Introduction

2nd Edition

£46.99

Part of Cambridge Studies in Advanced Mathematics

  • Author: Isaac Chavel, City College, City University of New York
  • Date Published: July 2006
  • availability: Available
  • format: Paperback
  • isbn: 9780521619547

£ 46.99
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized topics. Also featured are Notes and Exercises for each chapter, to develop and enrich the reader's appreciation of the subject. This second edition, first published in 2006, has a clearer treatment of many topics than the first edition, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. The main themes here are the effect of the curvature on the usual notions of classical Euclidean geometry, and the new notions and ideas motivated by curvature itself. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space.

    • Assumes familiarity with differentiable manifolds so that more topics in Riemannian geometry can be treated
    • User-friendly presentation, with the right balance in notation and detail
    • The variety of advanced topics and the Notes and Exercises sections give great flexibility both in teaching from the book and for self-study
    Read more

    Reviews & endorsements

    '… I think that it is the best reference on Riemannian geometry available, especially for someone interested in isoperimetric problems. … an insightful modern perspective on topics of current research interest.' SIAM Review

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Edition: 2nd Edition
    • Date Published: July 2006
    • format: Paperback
    • isbn: 9780521619547
    • length: 488 pages
    • dimensions: 229 x 152 x 25 mm
    • weight: 0.65kg
    • contains: 161 exercises
    • availability: Available
  • Table of Contents

    1. Riemannian manifolds
    2. Riemannian curvature
    3. Riemannian volume
    4. Riemannian coverings
    5. Surfaces
    6. Isoperimetric inequalities (constant curvature)
    7. The kinetic density
    8. Isoperimetric inequalities (variable curvature)
    9. Comparison and finiteness theorems.

  • Instructors have used or reviewed this title for the following courses

    • Introduction to Riemannian Geometry
  • Author

    Isaac Chavel, City College, City University of New York
    Isaac Chavel is Professor of Mathematics at The City College of the City University of New York. He received his Ph.D. in Mathematics from Yeshiva University under the direction of Professor Harry E. Rauch. He has published in international journals in the areas of differential geometry and partial differential equations, especially the Laplace and heat operators on Riemannian manifolds. His other books include Eigenvalues in Riemannian Geometry (1984) and Isoperimetric Inequalities: Differential Geometric and Analytic Perspectives (Cambridge University Press, 2001). He has been teaching at The City College of the City University of New York since 1970, and has been a member of the doctoral program of the City University of New York since 1976. He is a member of the American Mathematical Society.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×