Results 21 to 30 of about 143 (140)
Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
Advances in Mathematical Physics, 2021 In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation.
Yanlin Li, Ali H. Alkhaldi, Akram Ali
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Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds
Mathematics, 2023 Recently, we studied CR-slant warped products B1×fM⊥, where B1=MT×Mθ is the Riemannian product of holomorphic and proper slant submanifolds and M⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper, we study B2×
Siraj Uddin, Bang-Yen Chen, Rawan Bossly
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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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On CR-Lightlike Product of an Indefinite Kaehler Manifold
International Journal of Mathematics and Mathematical Sciences, 2011 We have studied mixed foliate CR-lightlike submanifolds and CR-lightlike product of an indefinite Kaehler manifold and also obtained relationship between them.
Rakesh Kumar +2 more
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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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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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Differential Geometry and its Applications, 2022 In this paper we show that two Kähler manifolds which do not share a Kähler submanifold, do not share either a Levi degenerate CR-submanifold with constant dimension Levi kernel. In particular, they do not share a CR-product. Further, we obtain that a Levi degenerate CR-submanifold of $\mathbb C^n$ cannot be isometrically immersed into a flag manifold.
Stefano Marini, Michela Zedda
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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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