Results 111 to 120 of about 1,514 (132)

On Invariant Submanifolds of a Nearly Trans-Sasakian Manifold

Arabian Journal for Science and Engineering, 2011
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Sari, R., Vanli, AYSEL
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Generic submanifolds of a trans-Sasakian manifold

Publicationes Mathematicae Debrecen, 1995
Let \(\overline M(\varphi, \xi, \eta, g)\) be a \((2+ 1)\)-dimensional trans-Sasakian manifold [see \textit{J. A. Oubina}, Publ. Math. 32, 187-193 (1985; Zbl 0611.53032)]. A submanifold \(M\) of \(M\) is said to be generic if the dimension of the subspaces \({\mathcal D}_x= T_x M\cap \varphi T_x M\), \(x\in M\), is constant along \(M\); thus ...
Shahid, M. Hasan, Mihai, Ion
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Semi-slant Submanifolds of Trans-Sasakian Manifolds

Sarajevo Journal of Mathematics
The purpose of the present paper is to study semi-slant submanifolds of a trans-Sasakian manifold.   2000 Mathematics Subject Classification.
Khan, Viqar Azam, Khan, Meraj Ali
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Integrability of nearly trans-Sasakian manifolds

Journal of Geometry and Physics
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Aligadzhi Rabadanovich Rustanov, Svetlana Vladimirovna Kharitonova   +1 more
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Weakly Einstein Trans-Sasakian $$3$$-Manifolds

Mathematical Notes
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Generalized Ricci solitons on trans-Sasakian manifolds

2018
Summary: The object of the present research is to shows that a trans-Sasakian manifold, which also satisfies the Ricci soliton and generalized Ricci soliton equation, satisfying some conditions, is necessarily the Einstein manifold.
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The local structure of trans-Sasakian manifolds

Annali di Matematica Pura ed Applicata, 1992
A trans-Sasakian structure is, in some sense, an analogue of a locally conformal Kähler structure on an almost Hermitian manifold. Two remarkable subclasses of trans-Sasakian structures are those called \({\mathcal C}_ 5\)- and \({\mathcal C}_ 6\)-structures, which contain the Kenmotsu and Sasakian structures respectively.
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On weakly symmetric generalized trans-sasakian manifold

Commentationes Mathematicae, 2015
In this paper, we have defined the weakly symmetric generalized Trans-Sasakian manifold \(G(WS)_n\) and it has been shown that on such manifold if any two of the vector fields \(\lambda,\gamma,\tau\), defined by equation (0.3) are orthogonal to \(\xi\), then the third will also be orthogonal to \(\xi\). We have also proved that the scalar curvature \(r\
Levejoy S. Das, Ram Nivas, Rupali Agnihotri   +2 more
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GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD

JP Journal of Geometry and Topology, 2017
A light-like submanifold \(M\) of an indefinite almost contact manifold \(\overline M\) is called generic if there exists a screen distribution \(S(TM)\) of \(M\) such that \(J(S(TM)^\perp)\subset S(TM)\), where \(J\) is the almost contact structure tensor of \(\overline M\).
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On Trans-Sasakian manifolds

SUT Journal of Mathematics, 2009
Shaikh, A. A., Matsuyama, Y.
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