DEFORMATIONS OF ISOTROPIC SUBMANIFOLDS IN KAHLER-MANIFOLDS

Authors
CHEN BY MORVAN JM
Citation
By. Chen et Jm. Morvan, DEFORMATIONS OF ISOTROPIC SUBMANIFOLDS IN KAHLER-MANIFOLDS, Journal of geometry and physics, 13(1), 1994, pp. 79-104
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
13
Issue
1
Year of publication
1994
Pages
79 - 104
Database
ISI
SICI code
0393-0440(1994)13:1<79:DOISIK>2.0.ZU;2-X
Abstract
We study the first and second variations of isotropic submanifolds whi ch preserve the isotropy. In order to do so, we introduce the notions of harmonic, exact and isotropic variations and investigate basic prop erties of isotropic submanifolds which are minimal under such deformat ions. Many results in this respect are then obtained. In particular, w e obtain a new characterization of Maslov class in terms of such defor mations.