Results 31 to 40 of about 110 (91)

ρ‐Einstein Solitons on Warped Product Manifolds and Applications

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki, Sameh Shenawy, H. K. EL-Sayied, N. Syied, C. A. Mantica, Antonio Masiello   +5 more
wiley   +1 more source

Some New Results on Trans‐Sasakian Manifolds

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we classify trans‐Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans‐Sasakian manifolds whose Reeb vector fields are harmonic‐Killing. The above results bring some new characterizations for the property of trans‐Sasakian 3‐manifolds.
Lei Wang, Yan Zhao, Antonio Masiello
wiley   +1 more source

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

Universal 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   +1 more source

On a Classification of Almost C(α)‐Manifolds

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, pseudosymmetric and Ricci pseudosymmetric almost C(α)‐manifold are studied. For an almost C(α)‐manifold, Riemann pseudosymmetric, Riemann Ricci pseudosymmetric, Ricci pseudosymmetric, projective pseudosymmetric, projective Ricci pseudosymmetric, concircular pseudosymmetric, and concircular Ricci pseudosymmetric cases are considered and ...
Tuğba Mert, Serkan Araci
wiley   +1 more source

Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamkovoy connection [PDF]

Journal of Hyperstructures
In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗).
Abhijit Mandal, Meghlal Mallik
doaj   +1 more source

Totally umbilical proper slant submanifolds of para-Kenmotsu manifold

Cubo, 2019
In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of
M.S. Siddesha, C.S. Bagewadi, D. Nirmala
doaj   +1 more source

Conformal η-Ricci soliton in Lorentzian para Kenmotsu manifolds

Gulf Journal of Mathematics, 2023
The objective of the present paper is to study conformal η-Ricci soliton on Lorentzian Para-Kenmotsu manifolds with some curvature conditions. We study Concircular curvature tensor, Quasi conformal curvature tensor, Codazi type of Ricci tensor and cyclic parallel Ricci tensor in Lorentzian Para-Kenmotsu manifolds.
Prasad, Rajendra, Kumar, Vinay
openaire   +2 more sources

On the existence of para-Kenmotsu manifolds

, 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.
openaire   +2 more sources

On generalized projective curvature tensor of para-Kenmotsu manifolds

Miskolc 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)].
Raghuwanshi, Teerathram, Pandey, Giteshwari, Pandey, Manoj Kumar, Goyal, Anil   +3 more
openaire   +2 more sources

Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami, Mehdi Jafari, Francisco J. Garcia-Pacheco   +2 more
wiley   +1 more source