Journal
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
Volume 41, Issue 3, Pages 347-355Publisher
SPRINGER
DOI: 10.1007/s10455-011-9286-9
Keywords
Wulff shape; Anisotropic mean curvature; Cartan identity
Categories
Funding
- NSFC [11001016, 10971111]
- SRFDP
- Program for Changjiang Scholars and Innovative Research Team in University
- NKBRPC [2006CB805905]
Ask authors/readers for more resources
In this paper, by Nomizu's method and some technical treatment of the asymmetry of the F-Weingarten operator, we obtain a classification of complete anisotropic isoparametric hypersurfaces, i.e., hypersurfaces with constant anisotropic principal curvatures, in Euclidean spaces, which is a generalization of the classical case for isoparametric hypersurfaces in Euclidean spaces. On the other hand, by an example of local anisotropic isoparametric surface constructed by B. Palmer, we find that in general anisotropic isoparametric hypersurfaces have both local and global aspects as in the theory of proper Dupin hypersurfaces, which differs from classical isoparametric hypersurfaces.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available