On Compact Trans-Sasakian Manifolds by Ibrahim Al-Dayel, Sharief Deshmukh

“…We study 3-dimensional compact and simply connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds. …”
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Two theorems on (ϵ)-Sasakian manifolds by Xu Xufeng, Chao Xiaoli

Subjects: “…(ϵ)-sasakian manifolds; real hypersurface; indefinite kaehlerian manifolds; (ϵ)-almost contact structure.…”
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On contact CR-submanifolds of sasakian manifolds by Koji Matsumoto

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On Sectional Curvatures of (ε)-Sasakian Manifolds by Rakesh Kumar, Rachna Rani, R. K. Nagaich

“…We obtain some basic results for Riemannian curvature tensor of (ε)-Sasakian manifolds and then establish equivalent relations among φ-sectional curvature, totally real sectional curvature, and totally real bisectional curvature for (ε)-Sasakian manifolds.…”
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Inequalities on Generalized Sasakian Space Forms by Najma Abdul Rehman, Abdul Ghaffar, Esmaeil Abedi, Mustafa Inc, Mohammed K. A. Kaabar

“…In this paper, we find the second variational formula for a generalized Sasakian space form admitting a semisymmetric metric connection. …”
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On Lightlike Geometry of Para-Sasakian Manifolds by Bilal Eftal Acet, Selcen Yüksel Perktaş, Erol Kılıç

“…We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. …”
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A Study on Trans-para-Sasakian Manifolds by Irem KUPELI ERKEN, Mustafa OZKAN

Subjects: “…trans-para-sasakian manifold…”
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Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds by Satya Prakash Yadav, Shyam Kishor

“…The present paper focuses on the study of noninvariant hypersurfaces of a nearly trans-Sasakian manifold equipped with (f,g,u,v,λ)-structure. …”
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Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds by Yaning Wang, Ximin Liu

“…We introduce and study generalized transversal lightlike submanifold of indefinite Sasakian manifolds which includes radical and transversal lightlike submanifolds of indefinite Sasakian manifolds as its trivial subcases. …”
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Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms by Dae Ho Jin

“…We study lightlike hypersurfaces M of an indefinite generalized Sasakian space form M-(f1,f2,f3), with indefinite trans-Sasakian structure of type (α,β), subject to the condition that the structure vector field of M- is tangent to M. …”
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CR-submanifolds of a nearly trans-Sasakian manifold by Falleh R. Al-Solamy

“…This paper considers the study of CR-submanifolds of a nearly trans-Sasakian manifold, generalizing the results of trans-Sasakian manifolds and thus those of Sasakian manifolds.…”
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Invariant Submanifolds of Sasakian Manifolds Admitting Semisymmetric Nonmetric Connection by B. S. Anitha, C. S. Bagewadi

“…The object of this paper is to study invariant submanifolds 𝑀 of Sasakian manifolds 𝑀 admitting a semisymmetric nonmetric connection, and it is shown that M admits semisymmetric nonmetric connection. …”
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Pseudo-Sasakian manifolds endowed with a contact conformal connection by Vladislav V. Goldberg, Radu Rosca

“…Pseudo-Sasakian manifolds M˜(U,ξ,η˜,g˜) endowed with a contact conformal connection are defined. …”
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A note on Chen's basic equality for submanifolds in a Sasakian space form by Mukut Mani Tripathi, Jeong-Sik Kim, Seon-Bu Kim

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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection by Bilal Eftal Acet, Erol Kılıç, Selcen Yüksel Perktaş

“…We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold. …”
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Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms by Ibrahim Al-Dayel

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Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations by Fatemah Mofarreh, Akram Ali, Nadia Alluhaibi, Olga Belova

“…In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via the first eigenvalue of Laplace–Beltrami operator defined on the warping function and a second-order ordinary differential equation. …”
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Conformal η-Ricci-Yamabe Solitons within the Framework of ϵ-LP-Sasakian 3-Manifolds by Abdul Haseeb, Meraj Ali Khan

“…In the present note, we study ϵ-LP-Sasakian 3-manifolds M3ϵ whose metrics are conformal η-Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M3ϵ with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ−ϵσ=−2ϵl+mr/2+1/2p+2/3. …”
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Generalized Wintgen inequality for BI-SLANT submanifolds in conformal Sasakian space form with quarter-symmetric connection by Mohd Aslam, Mohd Danish Siddiqi, Aliya Naaz Siddiqui

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On generalized <mml:math display="inline"><mml:mi>M</mml:mi></mml:math>-projective curvature tensor of para-Sasakian manifold by Swati Jain, Teerathram Raghuwanshi, Manoj Kumar Pandey, Anil Goyal

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