Results 111 to 120 of about 1,519 (136)

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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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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On a type of trans-Sasakian manifolds

2017
Summary: The object of the present paper is to study \(3\)-dimensional trans-Sasakian manifolds admitting a \(W_2\)-curvature tensor. Trans-Sasakian manifolds satisfying the curvature condition \(S(X,\xi). R = 0\) is also considered.
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A Study of Conformal $$\eta$$-Einstein Solitons on Trans-Sasakian 3-Manifold

Journal of Nonlinear Mathematical Physics, 2022
Yanlin Li, Santu Dey, Arindam Bhattacharyya   +2 more
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