Results 81 to 90 of about 662,217 (166)
Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold
International Journal of Mathematics and Mathematical Sciences, 1984 It is proved that any co-isotropic submanifold M of a pseudo-Sasakian manifold M˜(U,ξ,η˜,g˜) is a CR submanifold (such submanfolds are called CICR submanifolds) with involutive vertical distribution ν1.
Vladislav V. Goldberg, Radu Rosca
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Foliations on quaternion CR-submanifolds
, 2007 The purpose of this paper is to study the canonical foliations of a quaternion CR-submanifold of a quaternion K hler manifold.
Ianus, Stere +2 more
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Horizontally submersions of contact $CR$-submanifolds
TURKISH JOURNAL OF MATHEMATICS, 2014 In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that the structures of quasi-K-cosymplectic and quasi-Kenmotsu manifolds are related to (1, 2)-symplectic structures.
Fortuné MASSAMBA +1 more
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Closed 3‐forms in five dimensions and embedding problems
Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
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Another class of warped product CR-submanifolds in Kenmotsu manifolds
, 2017 Recently, Arslan et al. [K. Arslan, R. Ezentas, I. Mihai, C. Murathan, J. Korean Math. Soc., 42 (2005), 1101–1110] studied contact CR-warped product submanifolds of the form MT ×fM⊥ of a Kenmotsu manifold M̃, where MT and M⊥ are invariant and anti ...
S. Uddin +3 more
semanticscholar +1 more source
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds
Bulletin of Mathematical Sciences, 2017 In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization.
Siraj Uddin
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Singular CR structures of constant Webster curvature and applications
Mathematische Nachrichten, Volume 297, Issue 3, Page 943-961, March 2024.Abstract We consider the sphere S2n+1$\mathbb {S}^{2n+1}$ equipped with its standard contact form. In this paper, we construct explicit contact forms on S2n+1∖S2k+1$\mathbb {S}^{2n+1}\setminus \mathbb {S}^{2k+1}$, which are conformal to the standard one and whose related Webster metrics have constant Webster curvature; in particular, it is positive if ...
Chiara Guidi +2 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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Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2018 In the present paper, we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
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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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