Skip to content
Register Sign in Wishlist
Lectures on the Ricci Flow

Lectures on the Ricci Flow

£40.99

Part of London Mathematical Society Lecture Note Series

  • Date Published: October 2006
  • availability: Available
  • format: Paperback
  • isbn: 9780521689472

£ 40.99
Paperback

Add to cart Add to wishlist

Other available formats:
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
  • Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincaré conjecture and Thurston's geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman's breakthroughs from 2002/2003. After describing the basic properties of, and intuition behind the Ricci flow, core elements of the theory are discussed such as consequences of various forms of maximum principle, issues related to existence theory, and basic properties of singularities in the flow. A detailed exposition of Perelman's entropy functionals is combined with a description of Cheeger-Gromov-Hamilton compactness of manifolds and flows to show how a 'tangent' flow can be extracted from a singular Ricci flow. Finally, all these threads are pulled together to give a modern proof of Hamilton's theorem that a closed three-dimensional manifold whichcarries a metric of positive Ricci curvature is a spherical space form.

    • Presents the state of the art view of the subject
    • Includes results not available in book form anywhere else
    • Written in a style which makes it ideal for use in a graduate level course
    Read more

    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

    • Date Published: October 2006
    • format: Paperback
    • isbn: 9780521689472
    • length: 124 pages
    • dimensions: 230 x 153 x 7 mm
    • weight: 0.2kg
    • contains: 22 b/w illus.
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Riemannian geometry background
    3. The maximum principle
    4. Comments on existence theory for parabolic PDE
    5. Existence theory for the Ricci flow
    6. Ricci flow as a gradient flow
    7. Compactness of Riemannian manifolds and flows
    8. Perelman's W entropy functional
    9. Curvature pinching and preserved curvature properties under Ricci flow
    10. Three-manifolds with positive Ricci curvature and beyond.

  • Author

    Peter Topping, University of Warwick
    Peter Topping is a Senior Lecturer in Mathematics at the University of Warwick.

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.
×