Skip to content
The Geometry of Total Curvature on Complete Open Surfaces

The Geometry of Total Curvature on Complete Open Surfaces

$131.00 (C)

Part of Cambridge Tracts in Mathematics

  • Date Published: December 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521450546

$ 131.00 (C)

Add to cart Add to wishlist

Other available formats:

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their work can be extended to more general spaces. Each chapter features open problems, making the volume a suitable learning aid for graduate students and non-specialists who seek an introduction to this modern area of differential geometry.

    • Richly illustrated to aid understanding and develop intuition
    • Self-contained account requires minimal background in manifolds
    • Modern theory can extend many classical results
    Read more

    Reviews & endorsements

    '...carefully written ... a very valuable addition to libraries.' Zentralblatt MATH

    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: December 2003
    • format: Hardback
    • isbn: 9780521450546
    • length: 294 pages
    • dimensions: 236 x 161 x 21 mm
    • weight: 0.535kg
    • contains: 45 b/w illus.
    • availability: Available
  • Table of Contents

    1. Riemannian geometry
    2. Classical results by Cohn-Vossen and Huber
    3. The ideal boundary
    4. The cut loci of complete open surfaces
    5. Isoperimetric inequalities
    6. Mass of rays
    7. Poles and cut loci of a surface of revolution
    8. Behaviour of geodesics.

  • Authors

    Katsuhiro Shiohama, Saga University, Japan

    Takashi Shioya, Tohoku University, Japan

    Minoru Tanaka, Tokai University, Japan

Sorry, this resource is locked

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

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 Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

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.


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.