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ON PARA KENMOTSU MANIFOLD [PDF]

open access: bronzeInternational Journal of Pure and Apllied Mathematics, 2014
A type of para Kenmotsu (briefly p -Kenmotsu) manifold in which R( ,X).C = 0 has been considered, where C is the conformal curvature tensor of the manifold and R is the curvature transformation. It has been shown that such a manifold is conformally flat and hence is an sp -Kenmotsu manifold.
K. L. Sai Prasad, T. Satyanarayana
semanticscholar   +3 more sources

Characterizations of PR-Pseudo-Slant Warped Product Submanifold of Para-Kenmotsu Manifold with Slant Base [PDF]

open access: goldSymmetry, 2022
In this article, we study the properties of PR-pseudo-slant submanifold of para-Kenmotsu manifold and obtain the integrability conditions for the slant distribution and anti-invariant distribution of such submanifold.
S K Srivastava   +2 more
exaly   +3 more sources

On generalized pseudo-projective curvature tensor of para-Kenmotsu manifolds

open access: bronzeBulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science, 2021
The object of the present paper is to generalize pseudo-projective curva-ture tensor of para-Kenmotsu manifold with the help of a new generalized(0,2) symmetric tensorZintroduced by Mantica and Suh. Various geo-metric properties of generalized pseudo-projective curvature tensor of para-Kenmotsu manifold have been studied. It is shown that a generalized
A.K. Goyal   +2 more
semanticscholar   +6 more sources

Certain results of conformal and *-conformal Ricci soliton on para-cosymplectic and para-Kenmotsu manifolds

open access: diamondGulf Journal of Mathematics, 2021
In the present paper we study η-Ricci solitons on three-dimensional para-Kenmotsu manifolds with the curvature condition R.Q=0. Also we study conformal flat, projectively flat and concircularly flat η-Ricci soliton on a three-dimensional para-Kenmotsu manifold.
Sumanjit Sarkar, Santu Dey, Xiaomin Chen
semanticscholar   +5 more sources

Analysis of some properties of w5 curvature tensor in lorentzian para kenmotsu manifold [PDF]

open access: diamondInternational Journal of Statistics and Applied Mathematics
FN Mburu, PW Njori, CN Gitonga
exaly   +3 more sources

On para-Kenmotsu manifolds

open access: hybridFilomat, 2018
In this paper we study para-Kenmotsu manifolds. We characterize this manifolds by tensor equations and study their properties. We are devoted to a study of ?-Einstein manifolds. We show that a locally conformally flat para-Kenmotsu manifold is a space of constant negative sectional curvature -1 and we prove that if a para-Kenmotsu manifold ...
Simeon Zamkovoy
openalex   +4 more sources

RICCI AND PROJECTIVE CURVATURE TENSORS ON A TYPE OF PARA-KENMOTSU MANIFOLD [PDF]

open access: hybridInternational Journal of Pure and Apllied Mathematics, 2016
The object of the present paper is to study the curvature properties of Ricciparallel para-Kenmotsu (briefly, P -Kenmotsu) manifold with the conditions R(X, ξ).P = P (X, ξ).R and R(X, ξ).P = L[(X ∧ ξ).P ], (L 6= −1), where R(X,Y ) is the Riemannian ...
S. Sunitha Devi   +2 more
semanticscholar   +3 more sources

On connections with torsion on nonholonomic para-Kenmotsu manifolds

open access: yesДифференциальная геометрия многообразий фигур, 2023
The concept of a nonholonomic para-Kenmotsu manifold is intro­duced. A nonholonomic para-Kenmotsu manifold is a natural generaliza­tion of a para-Kenmotsu manifold; the distribution of a nonholonomic para-Kenmotsu manifold does not need to be involutive.
A. V. Bukusheva
doaj   +2 more sources

On almost α-para-Kenmotsu manifolds satisfyıng certain conditions

open access: diamondCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018
Summary: In this paper, we study some remarkable properties of almost \(\alpha \)-para-Kenmotsu manifolds. We consider projectively flat, conformally flat and concircularly flat almost \(\alpha\)-para-Kenmotsu manifolds (with the \(\eta\)-parallel tensor field \(\phi h\)). Finally, we present an example to verify our results.
İrem Küpeli Erken
openalex   +6 more sources

On the existence of para-Kenmotsu manifolds [PDF]

open access: green, 2022
This note provides a quite obvious observation that the condition (2.7), which is a part of the original definition of the so-called para-Kenmotsu manifolds [9], does not make sense, and thus this concept is void. So, it is proved that the para-Kenmotsu manifolds does not exist under the condition mentioned above.
Gherici Beldjilali
openalex   +3 more sources

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