EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 51(65), pp. 94--100 (1992)

Previous Article

Next Article

Contents of this Issue

Other Issues


ELibM Journals

ELibM Home

EMIS Home

 

Some remarks on isotropic submanifolds

Luc Vrancken

Katholieke Universitet Leuven, Department Wiskunde Celestijnenlaan 200B, B-3030 Leuven, Belgium

Abstract: The notion of isotropic submanifolds of an arbitrary Riemannian manifold was first introduced by B. O'Neill. In this paper, we study $n$-dimensional, totally real, isotropic submanifolds of $CP^n(4)$. These submanifolds have been previously studied by H. Naitoh, S. Montiel and F. Urbano under the additional assumption that $M$ is complete. Here we prove some local classification theorems for totally real isotropic submanifolds of the complex projective space.

Classification (MSC2000): 53C40

Full text of the article:


Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition