Real Kaehler submanifolds in low codimension
نویسندگان
چکیده
منابع مشابه
Twisted Product Cr-submanifolds in a Locally Conformal Kaehler Manifold
Recently, we researched certain twisted product CR-submanifolds in a Kaehler manifold and some inequalities of the second fundamental form of this submanifold ([11]). In this talk, we consider two kind twisted product CR-submanifolds in a locally conformal Kaehler manifold. In these submanifolds, we give a inequality of the second fundamental form (See Theorems 5.3 and 5.4) and consider the equ...
متن کاملGeneric Warped Product Submanifolds in Nearly Kaehler Manifolds
Warped product manifolds provide excellent setting to model space-time near black holes or bodies with large gravitational force (cf. [1], [2], [14]). Recently, results are published exploring the existence (or non-existence) of warped product submanifolds in Kaehlerian and contact settings (cf. [6], [17], [20]). To continue the sequel, we have considered warped product submanifolds of nearly K...
متن کاملHamiltonian-minimal Submanifolds in Kaehler Manifolds with Symmetries
By making use of the symplectic reduction and the cohomogeneity method, we give a general method for constructing Hamiltonian minimal submanifolds in Kaehler manifolds with symmetries. As applications, we construct infinitely many nontrivial complete Hamiltonian minimal submanifolds in CP n and Cn.
متن کاملSubmersion of CR-Submanifolds of Locally Conformal Kaehler Manifold
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 conforma...
متن کاملQuaternion Cr-submanifolds of a Quaternion Kaehler Manifold
We study the quaternion CR-submanifolds of a quaternion Kaehler manifold. More specifically we study the properties of the canonical structures and the geometry of the canonical foliations by using the Bott connection and the index of a quaternion CR-submanifold. 2000 Mathematics Subject Classification. 53C20, 53C21, 53C25.
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 1997
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(97)00014-4