𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Degenerate submanifolds in Semi-Riemannian geometry

✍ Scribed by Demir N. Kupeli

Publisher
Springer
Year
1987
Tongue
English
Weight
975 KB
Volume
24
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

✦ Synopsis

Degenerate submanifolds of Semi-Riemannian manifolds are studied. The relation of the Semi-Riemannian structure of a Semi-Riemannian manifold M to the intrinsic singular Semi-Riemannian structure of a degenerate submanifold H in M is investigated. Gauss-Codazzi equations are obtained for a certain class of degenerate submanifolds of Semi-Riemannian manifolds.

'compatible' with the Semi-Riemannian structure of (M, g). In other words, a stationary degenerate submanifold (H, gn) of a Semi-Riemannian manifold

πŸ“œ SIMILAR VOLUMES

Singular semi-riemannian geometry
Singular semi-riemannian geometry
✍ Jens Chr. Larsen πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 948 KB
On totally umbilic submanifolds of semi-
On totally umbilic submanifolds of semi-Riemannian manifolds
✍ Volker Perlick πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 120 KB

The notion of being totally umbilic is considered for non-degenerate and degenerate submanifolds of semi-Riemannian manifolds. After some remarks on the general case, timelike and lightlike totally umbilic submanifolds of Lorentzian manifolds are discussed, along with their physical interpretation i

On special submanifolds in symplectic ge
On special submanifolds in symplectic geometry
✍ Eleonora Ciriza πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 635 KB

We study the symplectic geometry of submanifolds of a manifold P equipped with a Kihler metric of non-positive curvature. We show that totally geodesic complex or isotropic submanifolds of P are standard.