Submersion of CR-Submanifolds of Locally Conformal Kaehler Manifold

نویسندگان

  • Reem Al-Ghefari
  • Mohammed Hasan Shahid
  • Falleh R. Al-Solamy
چکیده

In this paper, we discuss submersion of CR-submanifolds of locally conformal Kaehler manifold. We prove that if π : M −→ B◦ is a submersion of CR-submanifold M of a locally conformal Kaehler manifoldM onto an almost Hermitian manifold B◦, then B◦ is a locally conformal Kaehler manifold. Furthermore, we discuss totally umbilical CR-submanifold and cohomology of CR-submanifold of locally conformal Kaehler manifold under the submersion. MSC 2000: 53C40

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تاریخ انتشار 2006