On a Riemannian invariant of Chen type

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In [6] we proved Chen's inequality regarded as a problem of constrained maximum. In this paper we introduce a Riemannian invariant obtained from Chen's invariant, replacing the sectional curvature by the Ricci curvature of k-order. This invariant can be estimated, in the case of submanifolds M in space forms $\widetilde{M}(c)$, varying with c and the mean curvature of M in $\widetilde{M}(c)$. A improuvement of this inequality in the Lagrangian case is obtained.
The paper is submitted to Rocky Mountain Journal of Mathematics

Keywords

Differential Geometry, Optimization and Control, 53C21, 53C24, 49K35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/112757

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605321
 http://arxiv.org/abs/math/0605321

Collections

arXiv