Results 21 to 30 of about 144 (139)
Totally Umbilical Hemi-Slant Submanifolds of Kaehler Manifolds
Abstract and Applied Analysis, 2011 We study totally umbilical hemi-slant submanifolds of a Kaehler manifold via curvature tensor. We prove some classification theorems for totally umbilical hemi-slant submanifolds of a Kaehler manifold and give an example.
Falleh R. Al-Solamy +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.
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds II
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 In 1994 N.~Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of $CR$- and slant-submanifolds, \cite{MR0353212}, \cite{MR760392}.
Koji Matsumoto
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Проблемы анализа, 2018 Recently, this author studied lightlike hypersurfaces of an indefinite Kaehler manifold endowed with a semi-symmetric non-metric connection in [7]. Further we study this subject.
Dae Ho Jin
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Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds
Abstract and Applied Analysis, 2014 Hemi-slant warped product submanifolds of nearly Kaehler manifolds are studied and some interesting results are obtained. Moreover, an inequality is established for squared norm of second fundamental form and equality case is also discussed.
Falleh R. Al-Solamy, Meraj Ali Khan
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Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold
International Journal of Mathematics and Mathematical Sciences, 2003 The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein manifold M˜ are studied. If M is an extrinsic CR-hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.
Vittorio Mangione
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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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Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds
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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Generic warped product sub manifolds in a Kaehler manifold
Filomat, 2008 Let \(\bar M\) be an almost Hermitian manifold with an almost complex structure \(J\), Hermitian metric \(g\) and let \(M\) be a submanifold of \(\bar M\). For each \(x\in M\), let \(D_x=T_xM\cap JT_xM\). If the dimension of \(D_x\) remains the same for each \(x\in M\) and it defines a holomorphic distribution \(D\) on \(M\), then \(M\) is called a ...
Khan, K. A., Shahid, Ali, Nargis, Jamal
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Kaehler and para-Kaehler curvature Weyl manifolds
, 2010 We show that the Weyl structure of an almost-Hermitian Weyl manifold of dimension at least 6 is trivial if the associated curvature operator satisfies the Kaehler identity. Similarly if the curvature of an almost para-Hermitian Weyl manifold of dimension at least 6 satisfies the para-Kaehler identity, then the Weyl structure is trivial as well.
Gilkey, Peter, Nikcevic, Stana
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