Results 31 to 40 of about 1,053 (160)
Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds [PDF]
, 2001 We establish results on holomorphic extension of CR-mappings of class $C^\infty$ between a real-analytic CR-submanifold of $\C^N$ and a real-algebraic CR-submanifold of $\C^{N'}$
Meylan, F., Mir, N., Zaitsev, D.
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CR-submanifolds of a locally conformal Kaehler space form
International Journal of Mathematics and Mathematical Sciences, 1994 (Bejancu [1,2]) The purpose of this paper is to continue the study of CR-submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]).
M. Hasan Shahid
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On normal CR-submanifolds of S-manifolds [PDF]
Colloquium Mathematicum, 1993 The notion of a CR-submanifold of an \(S\)-manifold was introduced by the reviewer [Stud. Cercet. Mat. 35, 127-136 (1983; Zbl 0516.53044)]. In the paper under review, the normality of such a submanifold is defined. Necessary and sufficient conditions for a CR-submanifold of an \(S\)- manifold to be normal are given.
Cabrerizo, José L. +2 more
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Generic submanifolds of a locally conformal Kaehler manifold-II
International Journal of Mathematics and Mathematical Sciences, 1993 The purpose of this paper is to study generic submanifolds with parallel structures, generic product submanifolds and totally umbilical submanifolds of a locally conformal Kaehler manifold.
M. Hasan Shahid, Kouei Sekigawa
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Submersions of generic submanifolds of a Kaehler manifold
Arab Journal of Mathematical Sciences, 2014 Kobayashi has shown that for the submersion π:M→B of a CR-submanifold of a Kaehler manifold M¯ onto an almost Hermitian manifold B,B is necessarily a Kaehler manifold.
Tanveer Fatima, Shahid Ali
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On Submersion of CR-Submanifolds of l.c.q.K. Manifold [PDF]
ISRN Geometry, 2012 We study submersion of CR-submanifolds of an l.c.q.K. manifold. We have shown that if an almost Hermitian manifoldBadmits a Riemannian submersionπ:M→Bof a CR-submanifoldMof a locally conformal quaternion Kaehler manifoldM¯, thenBis a locally conformal quaternion Kaehler manifold.
Choudhary, Majid Ali +2 more
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CR submanifolds of a Kaehler manifold. II [PDF]
Transactions of the American Mathematical Society, 1978 The differential geometry of CR submanifolds of a Kaehler manifold is studied. Theorems on parallel normal sections and on a special type of flatness of the normal connection on a CR submanifold are obtained. Also, the nonexistence of totally umbilical proper CR submanifolds in an elliptic or hyperbolic complex space is proven.
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Bi-Slant Submanifolds of Para Hermitian Manifolds
Mathematics, 2019 In this paper, we introduce the notion of bi-slant submanifolds of a para Hermitian manifold. They naturally englobe CR, semi-slant, and hemi-slant submanifolds. We study their first properties and present a whole gallery of examples.
Pablo Alegre, Alfonso Carriazo
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Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper
International Journal of Mathematics and Mathematical Sciences, 1988 It was conjectured in [1 II] (also in [2]) that mixed foliate CR-submanifolds in a complex hyperbolic space are either complex submanifolds or totally real submanifolds. In this paper we give an affirmative solution to this conjecture.
Bang-Yen Chen, Bao-Qiang Wu
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2017 In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of CR- and slant-submanifolds. In particular, he considered this submanifold in Kaehlerian manifolds, [13]. Then, in 2007, V.
Koji Matsumoto
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