Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
Keywords:
tubular hypersurfaces; ideal immersion; real space form
tubular hypersurfaces; ideal immersion; real space form
Summary:
In this article we give a classification of tubular hypersurfaces in real space forms which are $\delta (2,2,\ldots ,2)$-ideal.
References:
[1] B. Y. Chen: Some pinching and classification theorems for minimal submanifolds. Arch. Math. 60 (1993), 568-578. MR 1216703 | Zbl 0811.53060
[2] B. Y. Chen: Tubular hypersurfaces satisfying a basic equality. Soochow Journal of Mathematics 20 No. 4 (1994), 569-586. MR 1309490 | Zbl 0827.53045
[3] B. Y. Chen: Some new obstructions to minimal and Lagrangian isometric immersions. Japan J. Math. 26 (2000), 105-127. MR 1771434 | Zbl 1026.53009
[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. MR 1751063 | Zbl 1009.53041
[5] R. Harvey, H. B. Lawson, Jr.: Calibrated geometries. Acta Math. 148 (1982), 47-157. MR 0666108 | Zbl 0584.53021
Search
Partner of
