ON THE FUNDAMENTAL GROUPS OF POSITIVELY CURVED 5-MANIFOLDS WITH MAXIMAL LOCAL SYMMETRY RANK

Cited 2 time in webofscience Cited 0 time in scopus
  • Hit : 327
  • Download : 0
Let M be a closed oriented Riemannian manifold of dimension 5 with positive sectional curvature. If M admits a pi(1)-invariant isometric T(k)-action (k = 2, 3), it has been shown by Fang and Rong that M is homeomorphic to a spherical space form. In this paper, we show that if M admits a pi(1)-invariant isometric T(3)-action, then pi(1)(M) is actually cyclic. Furthermore, we show that if pi(1)(M) is not isomorphic to Z(3) as well, then M is diffeomorphic to a lens space.
Publisher
UNIV HOUSTON
Issue Date
2011
Language
English
Article Type
Article
Keywords

COLLAPSING RIEMANNIAN-MANIFOLDS; CURVATURE

Citation

HOUSTON JOURNAL OF MATHEMATICS, v.37, no.3, pp.787 - 792

ISSN
0362-1588
URI
http://hdl.handle.net/10203/98419
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 2 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0