Spacelike austere submanifolds, pseudo-Euclidean space, indefinite special Lagrangian submanifolds," /> Spacelike austere submanifolds, pseudo-Euclidean space, indefinite special Lagrangian submanifolds,"/> Spacelike austere submanifolds, pseudo-Euclidean space, indefinite special Lagrangian submanifolds,"/> ON SPACELIKE AUSTERE SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACE

Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (2): 501-511.doi: 10.1016/S0252-9602(11)60251-8

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ON SPACELIKE AUSTERE SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACE

 DONG Yu-Xin, HAN Ying-Bo*   

  1. Institute of Mathematics, Fudan University, Shanghai 200433, China Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, |Ministry of Education, |China|College of Mathematics and information Science, Xinyang Normal University, Xinyang 464000, China
  • Received:2008-10-07 Revised:2009-09-23 Online:2011-03-20 Published:2011-03-20
  • Contact: Han Yingbo
  • Supported by:

    Supported by NSFC (10971029) and NSFC-NSF (1081112053); the second author is also supported by NSFC-Tian Yuan Fund (11026062)

Abstract:

In this article, we construct some spacelike austere submanifolds in pseduo-Euclidean spaces. We also get some indefinite special Lagrangian submanifolds by constructing twisted normal bundle of spacelike austere submanifolds in pseduo-Euclidean spaces.

Key words: Spacelike austere submanifolds')">

Spacelike austere submanifolds, pseudo-Euclidean space, indefinite special Lagrangian submanifolds

CLC Number: 

  • 53C42
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