 |
|
|
Item Details
| Title:
|
GEOMETRY OF HYPERSURFACES
|
| Volume: |
2015 |
| By: |
Patrick J. Ryan, Thomas E. Cecil |
| Format: |
Hardback |
| List price:
|
£119.99 |
| Our price: |
£101.99 |
| Discount: |
|
| You save:
|
£18.00 |
|
|
|
|
|
| ISBN 10: |
1493932454 |
| ISBN 13: |
9781493932450 |
| Availability: |
Usually dispatched within 1-3 weeks.
 Delivery
rates
|
| Stock: |
Currently 0 available |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
3 November, 2015 |
| Edition: |
2015 ed. |
| Series: |
Springer Monographs in Mathematics |
| Pages: |
596 |
| Description: |
Geometry of Hypersurfaces |
| Synopsis: |
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms. The book is accessible to a reader who has completed a one-year graduate course in differential geometry. The text, including open problems and an extensive list of references, is an excellent resource for researchers in this area. Geometry of Hypersurfaces begins with the basic theory of submanifolds in real space forms. Topics include shape operators, principal curvatures and foliations, tubes and parallel hypersurfaces, curvature spheres and focal submanifolds. The focus then turns to the theory of isoparametric hypersurfaces in spheres. Important examples and classification results are given, including the construction of isoparametric hypersurfaces based on representations of Clifford algebras. An in-depth treatment of Dupin hypersurfaces follows with results that are proved in the context of Lie sphere geometry as well as those that are obtained using standard methods of submanifold theory.Next comes a thorough treatment of the theory of real hypersurfaces in complex space forms. A central focus is a complete proof of the classification of Hopf hypersurfaces with constant principal curvatures due to Kimura and Berndt. The book concludes with the basic theory of real hypersurfaces in quaternionic space forms, including statements of the major classification results and directions for further research. |
| Illustrations: |
23 black & white illustrations, 1 black & white tables, biography |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
No Cheese, Please!
A fun picture book for children with food allergies - full of friendship and super-cute characters!Little Mo the mouse is having a birthday party.
|
My Brother Is a Superhero
Luke is massively annoyed about this, but when Zack is kidnapped by his arch-nemesis, Luke and his friends have only five days to find him and save the world...
|
|
|
|
|