Results 21 to 30 of about 438,929 (192)
Reducibility of complex submanifolds of the complex euclidean spaces [PDF]
, 2000 Let M be a simply connected complex submanifold of CN. We prove that M is irreducible, up a totally geodesic factor,if and only if the normal holonomy group acts irreducibly.
Di Scala, Antonio Jose'
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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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Minimal CR-submanifolds of a six-dimentional sphere
International Journal of Mathematics and Mathematical Sciences, 1995 We establish several formulas for a 3-dimensional CR-submanifold of a six-dimensional sphere and state some results obtained by making use of them.
M. Hasan Shahid, S. I. Husain
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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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CR-submanifolds of Some Lorentzian Manifolds and K-manifolds [PDF]
, 2021 In this paper I have studied about CR(Cauchy-Riemann)-submanifolds of Lorentzian Concircular Structure manifold ((LCS)n-manifold), Lorentzian Para-Sasakian(LP)-cosymplectic manifold, S-manifold and Generalized Kenmotsu (GKM) manifold.
Karmakar, Payel
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Vanishing Homology of Warped Product Submanifolds in Complex Space Forms and Applications
Mathematics, 2022 In this paper, we prove the nonexistence of stable integral currents in compact oriented warped product pointwise semi-slant submanifold Mn of a complex space form M˜(4ϵ) under extrinsic conditions which involve the Laplacian, the squared norm gradient ...
Ali H. Alkhaldi +3 more
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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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On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature
Mathematics, 2021 In this paper, we obtain some topological characterizations for the warping function of a warped product pointwise semi-slant submanifold of the form Ωn=NTl×fNϕk in a complex projective space CP2m(4).
Yanlin Li +3 more
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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 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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