Kähler Submanifolds with Lower Bounded Totally Real Bisectional Curvature Tensor

نویسندگان

  • Hyang Seon Jeon
  • Yong-Soo Pyo
چکیده

In this paper, we prove that if every totally real bisectional curvature of an n(≥ 3)-dimensional complete Kähler submanifold of a complex projective space of constant holomorphic sectional curvature c is greater than c 4(n2−1)n(2n− 1), then it is totally geodesic. Mathematics Subject Classifications: 53C50, 53C55, 53C56.

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تاریخ انتشار 2002