H-Convex Riemannian Submanifolds
| dc.creator | Udriste, Constantin | |
| dc.creator | Oprea, Teodor | |
| dc.date | 2005-11-01 | |
| dc.date.accessioned | 2026-07-07T06:50:36Z | |
| dc.date.available | 2026-07-07T06:50:36Z | |
| dc.description | Having in mind the well known model of Euclidean convex hypersurfaces [4], [5], and the ideas in [1] many authors defined and investigate convex hypersurfaces of a Riemannian manifold. As it was proved by the first author in [7], there follows the interdependence between convexity and Gauss curvature of the hypersurface. In this paper we define $H$-convexity of a Riemannian submanifold of arbitrary codimension, replacing the normal versor of a hypersurface with the mean curvature vector $H$. A characterization, used by B.Y. Chen [2], [3] as the definition of strictly $H$-convexity, it is obtained. | |
| dc.description | 8 pages; The paper is now included in the PhD Thesis of Teodor Oprea | |
| dc.identifier | https://arxiv.org/abs/math/0511017 | |
| dc.identifier | http://arxiv.org/abs/math/0511017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104714 | |
| dc.subject | Differential Geometry | |
| dc.subject | Optimization and Control | |
| dc.subject | 53C40, 53C45 | |
| dc.title | H-Convex Riemannian Submanifolds | |
| dc.type | text |