Reduction of Codimension of Complete Spacelike Submanifolds in Semi-Rimannian Space Forms
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Key words:
- small spacelike submanifolds /
- semi-Riemannian space form /
- reduction of codimension /
- mean curvature
Abstract: Let Mn with parallel normalized mean curvature vector field be a complete spacelike submanifold isometric immersed into a semi-Riemannian space form Npn+p (c) , whose mean curvature His bounded.We prove that if the mean curvature H of Mn satisfies the corresponding conditions, then the codimension of Mn will be reduced.