TY - JOUR
T1 - New examples of Willmore submanifolds in the unit sphere via isoparametric functions, II
AU - Qian, Chao
AU - Tang, Zizhou
AU - Yan, Wenjiao
PY - 2013/1
Y1 - 2013/1
N2 - This paper is a continuation and wide extension of (Ann. Glob. Anal. Geom., doi: 10. 1007/s10455-012-9319-z, 2012). In the first part of the present paper, we give a unified geometric proof that both focal submanifolds of every isoparametric hypersurface in spheres with four distinct principal curvatures are Willmore. In the second part, we completely determine which focal submanifolds are Einstein except one case.
AB - This paper is a continuation and wide extension of (Ann. Glob. Anal. Geom., doi: 10. 1007/s10455-012-9319-z, 2012). In the first part of the present paper, we give a unified geometric proof that both focal submanifolds of every isoparametric hypersurface in spheres with four distinct principal curvatures are Willmore. In the second part, we completely determine which focal submanifolds are Einstein except one case.
KW - Focal submanifolds
KW - Isoparametric functions
KW - Willmore submanifold
UR - http://www.scopus.com/inward/record.url?scp=84873600450&partnerID=8YFLogxK
U2 - 10.1007/s10455-012-9332-2
DO - 10.1007/s10455-012-9332-2
M3 - Article
AN - SCOPUS:84873600450
SN - 0232-704X
VL - 43
SP - 47
EP - 62
JO - Annals of Global Analysis and Geometry
JF - Annals of Global Analysis and Geometry
IS - 1
ER -