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The local structure of trans-Sasakian manifolds
Annali di Matematica Pura ed Applicata, 1992A 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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Generalized Sasakian space forms and trans-Sasakian manifolds
2012Summary: We study generalized Sasakian space forms and trans-Sasakian manifolds. We present results on generalized recurrent, generalized \(\phi\)-recurrent, \(\phi\)-concircular and \(\phi\)-conharmonically recurrent trans-Sasakian manifolds and generalized Sasakian space forms.
Somashekhara, G., Nagaraja, H. G.
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A Study of Conformal $$\eta$$-Einstein Solitons on Trans-Sasakian 3-Manifold
Journal of Nonlinear Mathematical Physics, 2022Yanlin Li +2 more
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TRANS-SASAKIAN MANIFOLD AND HYPERSURFACE
International Journal of Mathematics Trends and Technology, 2021openaire +1 more source
Reeb flow invariant ∗-Ricci operators on trans-Sasakian three-manifolds
Mathematica Slovaca, 2021Donghe Pei
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On a type of trans-Sasakian manifolds
2017Summary: 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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ON A CLASS OF THREE-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS
Communications of the Korean Mathematical Society, 2012Krishnendu De
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