INVARIANT SUBMANIFOLDS IN FLOW GEOMETRY

Authors
GONZALEZDAVILA JC GONZALEZDAVILA MC VANHECKE L
Citation
Jc. Gonzalezdavila et al., INVARIANT SUBMANIFOLDS IN FLOW GEOMETRY, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 62, 1997, pp. 290-314
Citations number
29
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
62
Year of publication
1997
Part
3
Pages
290 - 314
Database
ISI
SICI code
0263-6115(1997)62:<290:ISIFG>2.0.ZU;2-H
Abstract
We begin a study of invariant isometric immersions into Riemannian man ifolds (M, g) equipped with a Riemannian flow generated by a unit Kill ing vector field xi. We focus our attention on those (M, g) where xi i s complete and such that the reflections with respect to the flow line s are global isometries (that is, (M, g) is a Killing-transversally sy mmetric space) and on the subclass of normal flow space forms. General results are derived and several examples are provided.