Hypersurfaces M^n in S^k x H^n-k+1
| dc.creator | Kowalczyk, Daniel | |
| dc.date | 2009-03-20 | |
| dc.date.accessioned | 2026-07-07T12:54:49Z | |
| dc.date.available | 2026-07-07T12:54:49Z | |
| dc.description | Let $ψ:\M \to \SH$ be an isometric immersion of codimension 1, then there exist symmetric $(1,1)$-tensors $S$ and $f$, a tangent vector field $U$ and a smooth function $λ$ on $\M$ that satisfy the compatibility equations of $\SH$. In this paper, we will deal with the converse problem: "Given a Riemannian manifold $\M$ with symmetric $(1,1)$-tensors $S$ and $f$, tangent vector field $U$ and smooth function $λ$ satisfying the conditions mentioned above, can $\M$ then be isometrically immersed in $\SH$ in such a way that $(g,S,f,U,λ)$ is realized as the induced structure?". | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0903.3510 | |
| dc.identifier | http://arxiv.org/abs/0903.3510 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224068 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C42; 53A35 | |
| dc.title | Hypersurfaces M^n in S^k x H^n-k+1 | |
| dc.type | text |