POSITIVELY CURVED MANIFOLDS WITH MAXIMAL SYMMETRY-RANK

Authors
GROVE K SEARLE C
Citation
K. Grove et C. Searle, POSITIVELY CURVED MANIFOLDS WITH MAXIMAL SYMMETRY-RANK, Journal of pure and applied algebra, 91(1-3), 1994, pp. 137-142
Citations number
17
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
91
Issue
1-3
Year of publication
1994
Pages
137 - 142
Database
ISI
SICI code
0022-4049(1994)91:1-3<137:PCMWMS>2.0.ZU;2-E
Abstract
The symmetry-rank of a riemannian manifold is by definition the rank o f its isometry group. We determine precisely which smooth closed manif olds admit a positively curved metric with maximal symmetry-rank.