| Title:
|
Ideal tubular hypersurfaces in real space forms (English) |
| Author:
|
Fastenakels, Johan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
295-305 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this article we give a classification of tubular hypersurfaces in real space forms which are $\delta (2,2,\ldots ,2)$-ideal. (English) |
| Keyword:
|
tubular hypersurfaces |
| Keyword:
|
ideal immersion |
| Keyword:
|
real space form |
| MSC:
|
53C40 |
| MSC:
|
53C42 |
| idZBL:
|
Zbl 1164.53321 |
| idMR:
|
MR2260389 |
| . |
| Date available:
|
2008-06-06T22:48:40Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108009 |
| . |
| Reference:
|
[1] B. Y. Chen: Some pinching and classification theorems for minimal submanifolds.Arch. Math. 60 (1993), 568-578. Zbl 0811.53060, MR 1216703 |
| Reference:
|
[2] B. Y. Chen: Tubular hypersurfaces satisfying a basic equality..Soochow Journal of Mathematics 20 No. 4 (1994), 569-586. Zbl 0827.53045, MR 1309490 |
| Reference:
|
[3] B. Y. Chen: Some new obstructions to minimal and Lagrangian isometric immersions.Japan J. Math. 26 (2000), 105-127. Zbl 1026.53009, MR 1771434 |
| Reference:
|
[4] B. Y. Chen: Strings of Riemannian invariants, inequalities, ideal immersions and their applications.in Third Pacific Rim Geom. Conf., (Intern. Press, Cambridge, MA), (1998), 7-60. Zbl 1009.53041, MR 1751063 |
| Reference:
|
[5] R. Harvey, H. B. Lawson, Jr.: Calibrated geometries.Acta Math. 148 (1982), 47-157. Zbl 0584.53021, MR 0666108 |
| . |
