Universität zu Köln

Bettiol, Renato G. and Mendes, Ricardo A. E. (2018). Strongly positive curvature. Ann. Glob. Anal. Geom., 53 (3). S. 287 - 310. DORDRECHT: SPRINGER. ISSN 1572-9060

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Abstract

We begin a systematic study of a curvature condition (strongly positive curvature) which lies strictly between positive-definiteness of the curvature operator and positivity of sectional curvature, and stems from the work of Thorpe (J Differ Geom 5:113-125, 1971; Erratum. J Differ Geom 11:315, 1976). We prove that this condition is preserved under Riemannian submersions and Cheeger deformations and that most compact homogeneous spaces with positive sectional curvature satisfy it.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bettiol, Renato G. UNSPECIFIED UNSPECIFIED UNSPECIFIED Mendes, Ricardo A. E. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-191025
DOI:	10.1007/s10455-017-9578-9
Journal or Publication Title:	Ann. Glob. Anal. Geom.
Volume:	53
Number:	3
Page Range:	S. 287 - 310
Date:	2018
Publisher:	SPRINGER
Place of Publication:	DORDRECHT
ISSN:	1572-9060
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language MANIFOLDS; METRICS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/19102