Results 1 to 10 of about 162 (82)

∗-η-Ricci Soliton and Gradient Almost ∗-η-Ricci Soliton Within the Framework of Para-Kenmotsu Manifolds [PDF]

open access: goldFrontiers in Physics, 2022
The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
doaj   +2 more sources

On Submanifolds of $N(k)$-Quasi Einstein Manifolds with a Type of Semi-Symmetric Metric Connection [PDF]

open access: yesUniversal Journal of Mathematics and Applications, 2020
In this study, we consider the $ N(k)- $quasi Einstein manifolds with respect to a type of semi-symmetric metric connection. We suppose that the generator of $ N(k)- $quasi-Einstein manifolds is parallel with respect to semi-symmetric metric connection
İnan Ünal
doaj   +4 more sources

The Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold [PDF]

open access: diamondCubo, 2021
The object of the paper is to study a type of canonical linear connection, called the Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold.
D. G. Prakasha   +3 more
doaj   +2 more sources

ETA-RICCI SOLITONS ON LORENTZIAN PARA-KENMOTSU MANIFOLDS [PDF]

open access: diamondFacta Universitatis, Series: Mathematics and Informatics, 2021
The objective of present research article is to investigate the geometric properties of $\eta$-Ricci solitons on Lorentzian para-Kenmotsu manifolds. In this manner, we consider $\eta$-Ricci solitons on Lorentzian para-Kenmotsu manifolds satisfying $R\cdot S=0$.
Shashikant Pandey   +2 more
  +5 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

CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD

open access: diamondJournal of Amasya University the Institute of Sciences and Technology, 2022
In this paper, the geometry of contact pseudo-slant submanifolds of a para Kenmotsu manifoldhowe been studied. The necessary and sufficient conditions for a submanifolds to be a contact pseudoslantsubmanifolds of a para Kenmotsu manifold are given.
Ümit Yıldırım, Süleyman Dirik
doaj   +2 more sources

On generalized projective curvature tensor of para-Kenmotsu manifolds [PDF]

open access: diamondMiskolc Mathematical Notes, 2023
Summary: The object of the present paper is to generalize projective curvature tensor of para-Kenmotsu manifold with the help of a new generalized (0,2) symmetric tensor \(\mathcal{Z}\) introduced by \textit{C. A. Mantica} and \textit{Y. J. Suh} [Int. J. Geom. Methods Mod. Phys. 9, No. 1, 1250004, 21 p. (2012; Zbl 1244.53019)].
Teerathram Raghuwanshi   +3 more
openalex   +3 more sources

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
openalex   +2 more sources

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

open access: diamondBoletim da Sociedade Paranaense de Matemática, 2021
The object of the present paper is to study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection. First we study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection satisfying the conditions $\bar R\cdot \bar S=0$ and $\bar S\cdot \bar R=0$.
Sumanjit Sarkar, Santu Dey, Xiaomin Chen
openalex   +7 more sources

A CLASSIFICATION OF SOME ALMOST α-PARA-KENMOTSU MANIFOLDS [PDF]

open access: diamondFacta Universitatis, Series: Mathematics and Informatics, 2021
In this paper, we mainly study local structures and curvatures of the almost α-para-Kenmotsu manifolds. In particular, locally symmetric almost α-para-Kenmotsu manifolds satisfying certain nullity conditions are classified.
Quanxiang Pan, Ximin Liu
openalex   +3 more sources

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