Universität zu Köln

Fang, Fuquan, Grove, Karsten and Thorbergsson, Gudlaugur (2016). Rank three geometry and positive curvature. Commun. Anal. Geom., 24 (3). S. 487 - 521. SOMERVILLE: INT PRESS BOSTON, INC. ISSN 1944-9992

Full text not available from this repository.

Abstract

An axiomatic characterization of buildings of type C-3 due to Tits is used to prove that any cohomogeneity two polar action of type C-3 on a positively curved simply connected manifold is equivariantly di ffeomorphic to a polar action on a rank one symmetric space. This includes two actions on the Cayley plane whose associated C-3 type geometry is not covered by a building.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Fang, Fuquan UNSPECIFIED UNSPECIFIED UNSPECIFIED Grove, Karsten UNSPECIFIED UNSPECIFIED UNSPECIFIED Thorbergsson, Gudlaugur UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-289672
DOI:	10.4310/CAG.2016.v24.n3.a3
Journal or Publication Title:	Commun. Anal. Geom.
Volume:	24
Number:	3
Page Range:	S. 487 - 521
Date:	2016
Publisher:	INT PRESS BOSTON, INC
Place of Publication:	SOMERVILLE
ISSN:	1944-9992
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language COHOMOGENEITY ONE MANIFOLDS; SECTIONAL CURVATURE; SYMMETRIC-SPACES; POLAR ACTIONS; FOLIATIONS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/28967