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The study of the geometry of CR-submanifolds in a locally conformal Kähler manifold was initiated in 1979 by D. E. Blair and B.-Y. Chen (Israel J. Math. 34:353–363, 1979), the authors proving that for a submanifold of a locally conformal Kähler manifold to be a CR-submanifold, it is necessary that the totally real distribution be integrable.

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CR-Submanifolds of Locally Conformal Kähler Manifolds

  • 章节

  • 发表日期：

    2025年

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  • Bang-Yen Chen,
  • Mohammad Hasan Shahid,
  • Gabriel Eduard Vilcu

摘要

The study of the geometry of CR-submanifolds in a locally conformal Kähler manifold was initiated in 1979 by D. E. Blair and B.-Y. Chen (Israel J. Math. 34:353–363, 1979), the authors proving that for a submanifold of a locally conformal Kähler manifold to be a CR-submanifold, it is necessary that the totally real distribution be integrable.