Let (H,h) be a Riemannian manifold and assume f: H-~ (0, oo) is a smooth function. The Lorentzian warped product (a, b) : x H, -oo ~< a < b ~< oo, with metric ds 2 = (\_\_f 2 dt 2) β’ h is called a standard static space-time. A study is made of geodesic completeness in standard static space-times. Su
Geodesic completeness of submanifolds in Minkowski space
β Scribed by John K. Beem; Paul E. Ehrlich
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 647 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0046-5755
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let M be a compact Riemannian symmetric space. We give an analytical expression for the area and volume functions of geodesic balls in M and for the area and volume functions of tubes around some totally geodesic submanifolds P of M. We plot the graphs of these functions for some compact irreducible
## Abstract We study the Bernstein type problem for complete submanifolds in the space forms. In particular, we prove that any complete super stable minimal submanifolds in an (__n__ + __p__)βdimensional Euclidean space \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\m
A submanifold M~ of Minkowski space ]E~ is said to be of restricted type if its shape operator with respect to the mean curvature vector is the restriction of a fixed linear transformation of ~ to the tangent space of M~ at every point of M~. In this paper we completely classify hypersurfaces of res