Results 111 to 120 of about 3,015 (140)

ON SUBMANIFOLDS OF PARA-SASAKIAN MANIFOLDS

JP Journal of Geometry and Topology, 2016
Summary: Studying in submanifolds of para-Sasakian manifolds, we obtain that (1) semi-parallel and 2-semi-parallel invariant submanifolds are totally geodesic, (2) necessary and sufficient conditions for the integrability of distributions and (3) some characterizations for submanifolds to be semi-invariant.
Acet, Bilal Eftal, Perktaş, Selcen Yüksel, Kılıç, Erol   +2 more
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Special para-Sasakian manifolds and concircular transformations

TRU Mathematics, 1984
The authors continue the study of the special para-Sasakian manifolds. More precisely, they consider the D-conformal change which corresponds to the concircular transformation in the integral manifold of the Pfaffian equation \(\eta =0\) and prove that a certain tensor field \(U^ h_{kji}\) on special para-Sasakian manifolds is invariant under this D ...
ADATI, TYUDI, CHŪMAN, GORŌ
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On exact 2-para Sasakian manifolds

Rendiconti del Circolo Matematico di Palermo, 1999
In [Tensor, New Ser. 42, No. 1, 42-54 (1985; Zbl 0578.53027)] the reviewer defined the notion of an almost \(r\)-paracontact manifold of P-Sasakian type. In this paper the authors study the geometry of a special case, an exact 2-para Sasakian manifold.
Mihai, Ion, Nicolescu, Liviu, Rosca, Radu   +2 more
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* - Ricci solitons on ε-para sasakian 3-manifolds

SERIES III - MATEMATICS, INFORMATICS, PHYSICS, 2020
In the present paper we study *-Ricci solitons in (Є)–para Sasakian manifolds and prove that if an (Є)-para Sasakian 3-manifold with constant scalar curvature admits a *-Ricci soliton, then the *-Ricci soliton is steady if and only if ℒVξ is g-orthogonal to ξ provided a =Trϕ is constant.
K. De, C. Dey
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On para-Sasakian manifold admitting Zamkovoy connection

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
The purpose of the present paper is to study some properties of para-Sasakian manifold admitting Zamkovoy connection. We obtain some interesting result on para-Sasakian manifold. It is shown that M-projectively flat para-Sasakian manifold is η-Einstein manifold.
Goyal, A., Jain, Swati, Pandey, M. K.
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On $\phi$-pseudo symmetric Para-Sasakian Manifolds

Acta Universitatis Apulensis, 2014
Summary: The object of the present paper is to study \(\phi\)-pseudo symmetric and \(\phi\)-pseudo Ricci symmetric Para-Sasakian manifolds with respect to Levi-Civita connection and quarter-symmetric metric connection and obtain a necessary and sufficient condition of a \(\phi\)-pseudo symmetric Para-Sasakian manifold with respect to quarter symmetric ...
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ON PARA-SASAKIAN MANIFOLDS

2010
The object of the present paper is to study Para-Sasakianmanifolds satisfying certain conditions on the curvature tensor.
Yıldız, Ahmet, Turan, Mine, Acet, Bilal Eftal   +2 more
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Some Properties of Para-Sasakian Manifolds

Science & Technology Journal, 2017
In this paper author present an investigation of some differential geometric properties of Para-Sasakian manifolds. Condition for a vector field to be Killing vector field in Para-Sasakian manifold is obtained. Mathematics Subject Classification (2010). 53B20, 53C15.
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Several tensor fields on para-Sasakian manifolds. I

TRU Mathematics, 1984
[For part II, cf. the review below (Zbl 0626.53034).] We previously introduced fundamental tensor fields and studied their relationships in special para-Sasakian manifolds from the standpoint of the D-conformal change [ibid. 19, 179-193 (1983; Zbl 0539.53035); 20, 111-123 (1984; Zbl 0554.53033); 20, 235-247 (1984; Zbl 0626.53008); and \textit{S. Tanno},
ADATI, TYUZI, CHÛNAN, GORÔ
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Special para-Sasakian manifolds D-conformal to a manifold of constant curvature

TRU Mathematics, 1983
The D-conformal curvature tensor and the notion of D-conformal change in a special para-Sasakian manifold have been considered by the second author [Tensor, New Ser. 39, 117-123 (1982; Zbl 0517.53048)]. The main purpose of the present paper is to prove the following Theorem: Let M be an n-dimensional special para-Sasakian manifold.
ADATI, TYUDI, CHŪMAN, GORŌ
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