Skip to content
Register Sign in Wishlist

Sub-Riemannian Geometry
General Theory and Examples

£85.99

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: June 2009
  • availability: Available
  • format: Hardback
  • isbn: 9780521897303

£ 85.99
Hardback

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
  • Sub-Riemannian manifolds are manifolds with the Heisenberg principle built in. This comprehensive text and reference begins by introducing the theory of sub-Riemannian manifolds using a variational approach in which all properties are obtained from minimum principles, a robust method that is novel in this context. The authors then present examples and applications, showing how Heisenberg manifolds (step 2 sub-Riemannian manifolds) might in the future play a role in quantum mechanics similar to the role played by the Riemannian manifolds in classical mechanics. Sub-Riemannian Geometry: General Theory and Examples is the perfect resource for graduate students and researchers in pure and applied mathematics, theoretical physics, control theory, and thermodynamics interested in the most recent developments in sub-Riemannian geometry.

    • Useful to both pure and applied mathematicians as well as theoretical physicists
    • Discusses the most recent development in sub-Riemannian geometry
    • Provides the theoretical tools to understand material with plenty of examples
    Read more

    Reviews & endorsements

    '… the authors give many interesting examples and applications … this book will pose a good help to researchers and graduate students.' 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: June 2009
    • format: Hardback
    • isbn: 9780521897303
    • length: 386 pages
    • dimensions: 234 x 156 x 22 mm
    • weight: 0.72kg
    • contains: 52 b/w illus.
    • availability: Available
  • Table of Contents

    Part I. General Theory:
    1. Introductory chapter
    2. Basic properties
    3. Horizontal connectivity
    4. Hamilton-Jacobi theory
    5. Hamiltonian formalism
    6. Lagrangian formalism
    7. Connections on sub-Riemannian manifolds
    8. Gauss' theory of sub-Riemannian manifolds
    Part II. Examples and Applications:
    9. Heisenberg manifolds
    10. Examples of Heisenberg manifolds
    11. Grushin manifolds
    12. Hormander manifolds
    Appendix A: local non-solvability
    Appendix B: fibre bundles.

  • Authors

    Ovidiu Calin, Eastern Michigan University
    Ovidiu Calin is an Associate Professor of Mathematics at Eastern Michigan University and a former Visiting Assistant Professor at the University of Notre Dame. He received his Ph.D. in geometric analysis from the University of Toronto in 2000. He has written several monographs and numerous research papers in the field of geometric analysis and has delivered research lectures in several universities in North America, Asia, the Middle East, and Eastern Europe.

    Der-Chen Chang, Georgetown University, Washington DC
    Der-Chen Chang is Professor of Mathematics at Georgetown University. He is a previous Associate Professor at the University of Maryland and a Visiting Professor at the Academia Sinica, among other institutions. He received his Ph.D. in Fourier analysis from Princeton University in 1987 and has authored several monographs and numerous research papers in the field of geometric analysis, several complex variables, and Fourier analysis.

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.
×