NEW EXAMPLES OF MANIFOLDS WITH COMPLETELY INTEGRABLE GEODESIC-FLOWS

Authors
PATERNAIN GP SPATZIER RJ
Citation
Gp. Paternain et Rj. Spatzier, NEW EXAMPLES OF MANIFOLDS WITH COMPLETELY INTEGRABLE GEODESIC-FLOWS, Advances in mathematics, 108(2), 1994, pp. 346-366
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Advances in mathematics → ACNP
ISSN journal
00018708
Volume
108
Issue
2
Year of publication
1994
Pages
346 - 366
Database
ISI
SICI code
0001-8708(1994)108:2<346:NEOMWC>2.0.ZU;2-B
Abstract
We construct Riemannian manifolds with completely integrable geodesic flows, in particular various nonhomogeneous examples. The methods empl oyed are a modification of Thimm's method, Riemannian submersions and connected sums. (C) 1994 Academic Press, Inc.