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Isoparametric foliation and a problem of Besse on generalizations of Einstein condition.
- Source :
-
Advances in Mathematics . Nov2015, Vol. 285, p1970-2000. 31p. - Publication Year :
- 2015
-
Abstract
- The focal sets of isoparametric hypersurfaces in spheres with g = 4 are all Willmore submanifolds, being minimal but mostly non-Einstein [25,22] . Inspired by A. Gray's view, the present paper shows that these focal sets are all A -manifolds but rarely Ricci parallel, except possibly for the only unclassified case. As a byproduct, it gives infinitely many simply-connected examples to the problem 16.56(i) of Besse concerning generalizations of the Einstein condition. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 285
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 110270888
- Full Text :
- https://doi.org/10.1016/j.aim.2015.09.003