Reduction of Codimension of Complete Spacelike Submanifolds in Semi-Rimannian Space Forms

TIAN Xiao-qiang DONG Dan

Journal of Southwest China Normal University(Natural Science Edition)

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2018 Volume 43 Issue 4

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TIAN Xiao-qiang DONG Dan. Reduction of Codimension of Complete Spacelike Submanifolds in Semi-Rimannian Space Forms[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(4): 31-36.

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TIAN Xiao-qiang DONG Dan. Reduction of Codimension of Complete Spacelike Submanifolds in Semi-Rimannian Space Forms[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(4): 31-36.

Reduction of Codimension of Complete Spacelike Submanifolds in Semi-Rimannian Space Forms

TIAN Xiao-qiang DONG Dan

College of Basic, Beijing Polytechnic; College of Mathematics and Statistics, Northwest Normal University;

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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.
- small spacelike submanifolds,
- semi-Riemannian space form,
- reduction of codimension,
- mean curvature
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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