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关于共形Sasaki流形的注记(英文)

Remarks on Conformal Sasakian Manifolds
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摘要 首先证明了一个具有某些几何条件的共形Sasaki流形是Sasaki流形.进一步,研究了带有非平凡平行向量场的共形Sasaki流形. In this article we first show that a conformal Sasakian manifold satisfying certain geometric conditions is Sasakian. Furthermore, we study the conformal Sasakian manifolds admitting non-trivial parallel vector fields.
作者 陈小民
机构地区 中国石油大学(北京)理学院
出处 《数学进展》 CSCD 北大核心 2016年第4期610-624,共15页 Advances in Mathematics（China）
基金 supported by the Science Foundation of China University of Petroleum-Beijing(No.2462015YQ0604) partially supported by the Personnel Training and Academic Development Fund(No.2462015QZDX02)
关键词 共形Sasaki流形 Lee向量场 平行向量场 可展曲面形向量场 conformal Sasakian manifolds Lee vector fields parallel vector fields torse-forming vector fields
分类号 O186.12 [理学—基础数学]
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参考文献21

  • 1Abdi, R. and Abedi, E., CR-hypersurfaces of conformal Kenmotsu space form satisfying certain shape oper- ator conditions, 2014, arXiv: 1410.7016.
  • 2Abedi, E., Submanifolds of a conformal Sasakian manifold, 2014, arXiv: 1410.7018.
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数学进展
2016年 第4期

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