On some classes of submanifolds satisfying Chen's equality in an Euclidean space

Cihan Özgür; Uday Chand De

On some classes of submanifolds satisfying Chen's equality in an Euclidean space

Autori

Cihan Özgür Balıkesir University - Department of Mathematics
Uday Chand De University of Calcutta - Department of Pure Mathematics

Parole chiave:

Chen invariant, Chen's inequality, projectively semi-symmetric manifold, totally geodesic submanifold, minimal submanifold

Abstract

We study submanifolds satisfying Chen's equality in an Euclidean space. Firstly, we consider projectively semi-symmetric submanifolds satisfying Chen's equality in an Euclidean space. We also study submanifolds satisfying the condition P · P = 0.

Cover of n°28 Italian Journal of Pure and Applied Mathematics

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Pubblicato

2011-07-19

Come citare

Özgür, C., & Chand De, U. (2011). On some classes of submanifolds satisfying Chen’s equality in an Euclidean space. Italian Journal of Pure and Applied Mathematics, 28, 109–116. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6007