On a Riemannian invariant of Chen type
| dc.creator | Oprea, Teodor | |
| dc.date | 2006-05-12 | |
| dc.date.accessioned | 2026-07-07T07:14:09Z | |
| dc.date.available | 2026-07-07T07:14:09Z | |
| dc.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. | |
| dc.description | The paper is submitted to Rocky Mountain Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0605321 | |
| dc.identifier | http://arxiv.org/abs/math/0605321 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112757 | |
| dc.subject | Differential Geometry | |
| dc.subject | Optimization and Control | |
| dc.subject | 53C21, 53C24, 49K35 | |
| dc.title | On a Riemannian invariant of Chen type | |
| dc.type | text |