Divergence-preserving geodesic transformations

Authors
Garcia-Rio, E Vanhecke, L
Citation
E. Garcia-rio et L. Vanhecke, Divergence-preserving geodesic transformations, P RS EDIN A, 128, 1998, pp. 1309-1323
Citations number
19
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
128
Year of publication
1998
Part
6
Pages
1309 - 1323
Database
ISI
SICI code
0308-2105(1998)128:<1309:DGT>2.0.ZU;2-6
Abstract
We discuss divergence- and volume-preserving geodesic transformations with respect to submanifolds and in particular, with respect to hypersurfaces. W e use these transformations to derive characterisations of special classes of hypersurfaces such as isoparametric hypersurfaces and Hopf hypersurfaces with constant principal curvatures. Furthermore, we consider divergence-pr eserving geodesic transformations with respect to geodesic spheres.