Higher order Hessian structures on manifolds
| dc.creator | Kumar, R David | |
| dc.date | 2005-08-25 | |
| dc.date.accessioned | 2026-07-07T05:22:41Z | |
| dc.date.available | 2026-07-07T05:22:41Z | |
| dc.description | In this paper we define $n$th order Hessian structures on manifolds and study them. In particular, when $n = 3$, we make a detailed study and establish a one-to-one correspondence between {\it third-order Hessian structures} and a {\it certain class of connections} on the second-order tangent bundle of a manifold. Further, we show that a connection on the tangent bundle of a manifold induces a connection on the second-order tangent bundle. Also we define second-order geodesics of special second-order connection which gives a geometric characterization of symmetric third-order Hessian structures. | |
| dc.description | 18 pages, no figures, no tables | |
| dc.identifier | https://arxiv.org/abs/math/0508493 | |
| dc.identifier | http://arxiv.org/abs/math/0508493 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 3, August 2005, pp. 259-277 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76156 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C05, 53C07, 53C15, 53C22 | |
| dc.title | Higher order Hessian structures on manifolds | |
| dc.type | text |