Results 21 to 30 of about 667,453 (193)
Chen optimal inequalities of CR-warped products of generalized Sasakian space form
Journal of Taibah University for Science, 2020 Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui +2 more
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Skew-symmetric vector fields on a CR-submanifold of a para-Kählerian manifold
International Journal of Mathematics and Mathematical Sciences, 2004 We deal with a CR-submanifold M of a para-Kahlerian manifold M˜, which carries a J-skew-symmetric vector field X. It is shown that X defines a global Hamiltonian of the symplectic form Ω on M⊤ and JX is a relative infinitesimal automorphism of Ω.
A. Mihai, R. Roșca
semanticscholar +1 more source
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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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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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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Another Class of CR-slant Warped Product Submanifolds in Nearly Trans-Sasakian Manifolds
Proceedings of the Bulgarian Academy of Sciences, 2023 In this paper, we study a CR-slant warped product submanifold of the type B × f Mθ, where Mθ is a slant and B is a CR-product submanifold in a nearly trans-Sasakian manifold.
L. Alqahtani, Afrah Almudawi
semanticscholar +1 more source
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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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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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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