期刊文献+

具有非零Killing旋量的Spin流形中的子流形几何

Geometry of Submanifolds in Spin Manifolds Adamitting Nonzero Killing Spinors
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摘要 考察了带有非零Killing旋量黎曼Spin流形的某类极小子流形.特别地,给出了这类流形中闭全测地超曲面的一个刻画.在对定理的证明过程中,Lichnerowicz型公式起到了重要的作用. The paper studies certain minimal submanifolds of a spin manifold with nonzero Killing spinors. In particular, it gives a charaterization of closed totally geodesic hypersurfaces in such an ambient space. A Lichnerowiez type formula on a submanifold plays an important role in this paper.
作者 向彩容 陈群
出处 《数学年刊(A辑)》 CSCD 北大核心 2008年第5期651-662,共12页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10571068)资助的项目.
关键词 DIRAC算子 Killing旋量 全测地超曲面 Dirac operator, Killing spinor field, Totally geodesic hypersurface
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参考文献10

  • 1Duff M. J., Nilsson B. E. W. and Pope C. N., Kaluza-Klein supergravity [J], Phys. Rep., 1986, 130:1-142.
  • 2Friedrich T., Der erste eigenwert des Dirac-operators einer kampakten riemannschen mannigfaltigkeit nichtnegativer Skalarkriimmung [J], Math. Nach., 1980, 97:117-146.
  • 3Wang M. Y., Preserving parallel spinors under metric deformations [J], India Univ. Math. J., 1991, 40(3):815-844.
  • 4Bar C., Real killing spinors and holonomy [J], Commun. Math. Phys., 1993, 154:509- 521.
  • 5Baum H., Complete riemannian manifolds with imaginary killing spinors [J], Ann. Glob. Anal. Geom., 1989, 7(3):205-226.
  • 6Friedrich T., On the spinor representation of surfaces in Euclidean 3-space [J], J. Geom. Phys., 1998, 28:143-157.
  • 7Bar C., Extrinsic bounds for eigenvalues of the Dirac operator [J], Ann. Glob. Anal. Geom., 1998, 16:573-596.
  • 8Iriyeh H., Minimal submanifolds in riemannian spin manifolds with parallel spinor fields [J], J. Geom. Phys., 2002, 41:258-273.
  • 9Lawson H. B. and Michelson M. L., Spin Geometry [M], Princeton, New Jersey: Princeton University Press, 1989.
  • 10Baum H., Friedrich T., Grunewald R. and Kath I., Twistors and Killing Spinors on Riemannian Manifolds [M], Leipzig: Teubner-Verlag, 1991.

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