An almost Hermitian manifold \((\widetilde {M},J,\tilde {g})\) is called a quasi-Kähler manifold if \(\widetilde {M}\) satisfies the condition \(\displaystyle (\widetilde {\nabla}_{X}J)Y+(\widetilde {\nabla}_{JX}J)JY = 0, \) for any vector fields \(X,Y \in \Gamma (T\widetilde {M})\) .

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CR-Submanifolds of Quasi-Kähler Manifolds

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

摘要

An almost Hermitian manifold \((\widetilde {M},J,\tilde {g})\) is called a quasi-Kähler manifold if \(\widetilde {M}\) satisfies the condition \(\displaystyle (\widetilde {\nabla}_{X}J)Y+(\widetilde {\nabla}_{JX}J)JY = 0, \) for any vector fields \(X,Y \in \Gamma (T\widetilde {M})\) .