Complete Spacelike Submanifolds Research Articles

On Semi-Ryan Complex Submanifolds in an Indefinite Complex Space Form

The purpose of this paper is to study several classes of an n-dimensional complete space-like complex sub-manifold of an (n + p)-dimensional indefinite complex space form M n + p 0 + t (c) of index 2t, and of an n-dimensional space-like complex hypersurface of a complex Minkowski space C n + 1 1 in terms of RS = 0.

Complete space-like submanifolds with parallel mean curvature vector of an indefinite space form

Let Mp+P(c) be an (n + />)-dimensional connected indefinite Riemannian manifold of index p and of constant curvature c, which is called an indefinite space form of index p. According to c>0, c―0 or c<0 it is denoted by Sp+P(c), R%+p or Hnp+P{c). A submanifold M of an indefinite space form M%+P(c) is said to be space-likeif the induced metric on M from that of the ambient space is positive definite. It is pointed out by some physicians that space-like hypersurfaces with constant mean curvature of arbitrary spacetimes get interested in relativity theory and an entire space-like hypersurface with constant mean curvature of an indefinite space form are studied by many authors (for examples: [1], [2], [3], [4], [7], [12] and so on).

Complete space-like submanifolds in a de Sitter space with parallel mean curvature vector

Complete space-like submanifolds in a de Sitter space with parallel mean curvature vector