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ZHU Yecheng, SONG Weidong
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Abstract: 2-Harmonic spacelike submanifolds in a pseudoRiemannian space form was studied, and a Simons form inequality of integration was obtained via calculations. After the submanifold was restricted it became a maximal spacelike submanifold, and the Simons form integral inequality was used to discuss the submanifold properties when the sectional curvature of the pseudoRiemannian space form is positive, negative and zero, respectively, and some results were obtained.
Key words: 2-harmonic, totally geodesic, spacelike submanifold
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ZHU Yecheng, SONG Weidong. 2-Harmonic Spacelike Submanifolds in a PseudoRiemannian Space Form[J].J4, 2006, 44(06): 869-872.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2006/V44/I06/869
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