Citation
B. Molina et C. Olmos, Decomposition of spaces with geodesics contained in compact flats, P AM MATH S, 129(12), 2001, pp. 3701-3709
Citations number
11
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
129
Issue
12
Year of publication
2001
Pages
3701 - 3709
Database
ISI
SICI code
0002-9939(2001)129:12<3701:DOSWGC>2.0.ZU;2-M
Abstract
We prove a decomposition result for analytic spaces all of whose geodesics
are contained in compact flats. Namely, we prove that a Riemannian manifold
is such a space if and only if it admits a (finite) cover which splits as
the product of a at torus with simply connected factors which are either sy
mmetric (of the compact type) or spaces of closed geodesics.