Results 11 to 20 of about 441,387 (187)
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.
Aurel Bejancu
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CR-submanifolds of a locally conformal Kaehler space form [PDF]
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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GEOMETRIC INEQUALITIES FOR CR-SUBMANIFOLDS [PDF]
Facta Universitatis, Series: Mathematics and InformaticsWe study two kinds of curvature invariants of Riemannian manifold equipped with a complex distribution D (for example, a CR-submanifold of an almost Hermitian manifold) related to sets of pairwise orthogonal subspaces of the distribution. One kind of invariant is based on the mutual curvature of the subspaces and another is similar to Chen’s δ ...
Mirjana Djorić, Vladimir Rovenski
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Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms [PDF]
Mathematics, 2020 The fundamental goal of this study was to achieve the Ricci curvature inequalities for a skew CR-warped product (SCR W-P) submanifold isometrically immersed in a complex space form (CSF) in the expressions of the squared norm of mean curvature vector and
Meraj Ali Khan, Ibrahim Aldayel
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Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper [PDF]
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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Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 We study totally umbilical CR-submanifolds of a Kaehler manifold carrying a semi-Riemannian metric. It is shown that for dimension of the totally real distribution greater than one, these submanifolds are locally decomposable into a complex and a totally
K. L. Duggal, R. Sharma
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CR-submanifolds of a Kaehler manifold. II [PDF]
Journal of Differential Geometry, 1981 summary:An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds.
Sasahara, Toru
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A Frankel type theorem for CR submanifolds of Sasakian manifolds [PDF]
, 2023 We prove a Frankel type theorem for CR submanifolds of Sasakian manifolds, under suitable hypothesis on the index of the scalar Levi forms determined by normal directions.
Dario Di Pinto +3 more
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