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In this chapter, we discuss generic submanifolds of a locally conformal Kähler manifold obtained by M. H. Shahid et al. In particular, we discuss integrability conditions of the canonical distributions, parallel structures, and totally umbilical generic submanifolds of an l.c.k. manifold. Furthermore, we provide some examples of generic submanifolds of locally conformal Kähler manifolds which are not CR-submanifolds.

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Generic 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

In this chapter, we discuss generic submanifolds of a locally conformal Kähler manifold obtained by M. H. Shahid et al. In particular, we discuss integrability conditions of the canonical distributions, parallel structures, and totally umbilical generic submanifolds of an l.c.k. manifold. Furthermore, we provide some examples of generic submanifolds of locally conformal Kähler manifolds which are not CR-submanifolds.