Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Gorodski, Claudio UNSPECIFIED UNSPECIFIED UNSPECIFIED Mendes, Ricardo A. E. UNSPECIFIED UNSPECIFIED UNSPECIFIED Radeschi, Marco UNSPECIFIED UNSPECIFIED UNSPECIFIED
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
Uncontrolled Keywords:	Keywords Language NUMBER Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/13435