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Sasaki联络的推广 被引量：1

The Generalized Sasaki Connection
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摘要 讨论了由Shchepetilov定义的Sasaki联络,并对Sasaki联络进行了两种推广.在卷积空间上定义了类似Sasaki联络的联络并计算了各类曲率,证明了一些几何结果. In this paper,the Sasaki connection defined by Shchepetilov is diucussed and two generalizations of this connection are given.Meanwhile,the similar Sasaki connection on warped product spaces is defined.All kinds of curvatures are calculated and some geometric results are proved.
作者 包开花
机构地区 内蒙古民族大学 数学学院
出处 《湖北民族学院学报（自然科学版）》 CAS 2012年第3期256-259,共4页 Journal of Hubei Minzu University(Natural Science Edition)
基金 霍英东基金项目(121003)
关键词 Sasaki联络 曲率 直和丛 Sasaki connection curvature tangent bundle
分类号 O18 [理学—基础数学]
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参考文献7

  • 1Shchepetilov A. The geometric sense of the Sasaki connection [ J ]. Phys A ,2003,36 (13 ) :3893-3898.
  • 2Crampin M. Solitons and SL ( 2, R) [ J ]. Phys Lett A, 1978,66 : 170-172.
  • 3Ding Q. The NLS-equation and it's SL(2, R) structure[ J ]. Phys A:Math Gen ,2000,33:325-329.
  • 4Inoguchi J. Darboux transformations on timelike constant mean Curvature surface[ J]. Geom phy, 1999,32:57-78.
  • 5Shchepetilov A. the geometric sense of the Sasaki connection[ J]. Phys A,2003,36 ( 13 ) :3893-3898.
  • 6Chem S S,Tenenblat K. pseudospherical surface and evolution equations Stud [ J ]. Appl Math, 1986,74:55-83.
  • 7Sasaki S. On differentiable manifolds with certain structures which are closely related to almost contact structure Tohoku [ J ]. Math J, 1960,24:59- 76.

同被引文献6

  • 1Shchepetilov A. The geometric sense of the Sasaki connection[J].Physica A,2003,(13):3893-3898.doi:10.1088/0305-4470/36/13/318.
  • 2Crampin M. Solitons and SL(2,R)[J].Physics Letters A,1978.170-172.
  • 3Ding Q. The NLS-equation and it's SL(2,R) structure[J].Journal of Physics A:Mathematical and General,2000.325-329.
  • 4Inoguchi J. Darboux transformations on timelike constant mean Curvature surface[J].Journal of Geometry and Physics,1999.57-78.
  • 5Sasaki S. On differentiable manifolds with certain structures which are closely related to almost contact structure[J].Tohoku Mathematical Journal,1960.59-76.
  • 6Marvan M. Scalar second-order evolution equations possessing an irreducible sl2-valued zero-curvature representation[J].Journal of Physics A:Mathematical and General,2002.9431-9441.

引证文献1

湖北民族学院学报（自然科学版）
2012年 第3期

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