Gorodski, Claudio, Mendes, Ricardo A. E. and Radeschi, Marco (2019). Robust index bounds for minimal hypersurfaces of isoparametric submanifolds and symmetric spaces. Calc. Var. Partial Differ. Equ., 58 (4). HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-0835
Full text not available from this repository.Abstract
We find many examples of compact Riemannian manifolds (M,g) whose closed minimal hypersurfaces satisfy a lower bound on their index that is linear in their first Betti number. Moreover, we show that these bounds remain valid when the metric g is replaced with g in a neighbourhood of g. Our examples (M,g) consist of certain minimal isoparametric hypersurfaces of spheres, their focal manifolds, the Lie groups SU(n) for n17 and Sp(n) for all n, and all quaternionic Grassmannians.
Item Type: | Journal Article | ||||||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-134352 | ||||||||||||||||
DOI: | 10.1007/s00526-019-1552-x | ||||||||||||||||
Journal or Publication Title: | Calc. Var. Partial Differ. Equ. | ||||||||||||||||
Volume: | 58 | ||||||||||||||||
Number: | 4 | ||||||||||||||||
Date: | 2019 | ||||||||||||||||
Publisher: | SPRINGER HEIDELBERG | ||||||||||||||||
Place of Publication: | HEIDELBERG | ||||||||||||||||
ISSN: | 1432-0835 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/13435 |
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