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ON SPACELIKE AUSTERE SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACE

ON SPACELIKE AUSTERE SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACE
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摘要 In this article, we construct some spacelike austere submanifolds in pseduoEuclidean spaces. We also get some indefinite special Lagrangian submanifolds by constructing twisted normal bundle of spacelike austere submanifolds in pseduo-Euclidean spaces. In this article, we construct some spacelike austere submanifolds in pseduoEuclidean spaces. We also get some indefinite special Lagrangian submanifolds by constructing twisted normal bundle of spacelike austere submanifolds in pseduo-Euclidean spaces.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第2期501-511,共11页 数学物理学报(B辑英文版)
基金 Supported by NSFC (10971029) NSFC-NSF(1081112053) supported by NSFC-Tian Yuan Fund (11026062)
关键词 Spacelike austere submanifolds pseudo-Euclidean space indefinite specialLagrangian submanifolds Spacelike austere submanifolds pseudo-Euclidean space indefinite specialLagrangian submanifolds
作者简介 Corresponding author
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参考文献6

  • 1Harvey R, Lawson H B. Calibrated geometries. Acta Math, 1982, 148:47-157.
  • 2Bryant R L. Some remarks on the geometry of Austere manifolds. Bull Braz Math Soc, 1991, 21(2): 133-157.
  • 3Dajczer M, Florit L A. A class of Austere submanifolds. Ⅲ J Math, 2001, 45(3): 735-755.
  • 4Ikawa O, Sakai T, Tasaki H. Weakly reflective submanfolds and austere submanifolds, arXiv:math/0612384v1.
  • 5Dong Y X. On indefinite special Lagrangian submanifolds in indefinite complex Euclidean spaces. J of Geom and Phys, 2009, 59:710-726.
  • 6Jost J, Xin Y L. Some aspects of the global geometry of entire spacelike submanifolds. Result Math, 2001, 40:233-245.

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