Results 11 to 20 of about 66 (56)

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

LP‐Kenmotsu Manifolds Admitting η‐Ricci Solitons and Spacetime

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In the present paper, LP‐Kenmotsu manifolds admitting η‐Ricci solitons have been studied. Moreover, some results for η‐Ricci solitons in LP‐Kenmotsu manifolds in the spacetime of general relativity have also been proved. Through a nontrivial example, we have given a proof for the existence of η‐Ricci solitons in a 5‐dimensional LP‐Kenmotsu manifold.
Yanlin Li, Abdul Haseeb, Musavvir Ali, G. Muhiuddin   +3 more
wiley   +1 more source

Study of W9: Curvature tensor on lorentzian para-Kenmotsu Manifolds

International Journal of Statistics and Applied Mathematics
F Mburu, PW Njori, CN Gitonga, SK Moindi
exaly   +2 more sources

Study of W3 curvature tensor on Lorentzian Para Kenmotsu manifolds

International Journal of Statistics and Applied Mathematics
FN Mburu, PW Njori, CN Gitonga
exaly   +2 more sources

A Study on Ricci Solitons in Kenmotsu Manifolds

International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013
We study and obtain results on Ricci solitons in Kenmotsu manifolds satisfying R(ξ, X) · B = 0, B(ξ, X) · S = 0, S(ξ, X) · R = 0, R(ξ,X)·P¯=0, and P¯(ξ,X)·S=0, where B and P¯ are C‐Bochner and pseudo‐projective curvature tensor.
C. S. Bagewadi, Gurupadavva Ingalahalli, S. R. Ashoka, R. Farnsteiner, V. S. Matveev   +4 more
wiley   +1 more source

Certain Results on Ricci Solitons in α‐Sasakian Manifolds

Geometry, Volume 2013, Issue 1, 2013., 2013
We study Ricci solitons in α‐Sasakian manifolds and show that it is a shrinking or expanding soliton and the manifold is Einstein with Killing vector field. Further, we prove that if V is conformal Killilng vector field, then the Ricci soliton in 3‐dimensional α‐Sasakian manifolds is shrinking or expanding but cannot be steady.
S. R. Ashoka, C. S. Bagewadi, Gurupadavva Ingalahalli, Giovanni Calvaruso   +3 more
wiley   +1 more source

Certain Results on Ricci Solitons in Trans‐Sasakian Manifolds

Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013
We study and obtain results on Ricci solitons in trans‐Sasakian manifolds satisfying R(ξ,X)·C̃=0, P(ξ,X)·C̃=0, H(ξ, X) · S = 0, and C̃(ξ,X)·S=0, where C̃, P, and H are quasiconformal, projective, and conharmonic curvature tensors.
C. S. Bagewadi, Gurupadavva Ingalahalli, Andrea Pascucci   +2 more
wiley   +1 more source

Ricci Solitons in α‐Sasakian Manifolds

International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012
We study Ricci solitons in α‐Sasakian manifolds. It is shown that a symmetric parallel second order‐covariant tensor in a α‐Sasakian manifold is a constant multiple of the metric tensor. Using this, it is shown that if ℒVg + 2S is parallel where V is a given vector field, then (g, V, λ) is Ricci soliton.
Gurupadavva Ingalahalli, C. S. Bagewadi, F. P. Schuller, I. Strachan   +3 more
wiley   +1 more source

Some Results on Lorentzian Para‐Sasakian Manifolds

International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011
The object of the present paper is to study Lorentzian para‐Sasakian (briefly LP‐Sasakian) manifolds satisfying certain conditions on the W2‐curvature tensor.
Venkatesha, C. S. Bagewadi, K. T. Pradeep Kumar, M. Dunajski   +3 more
wiley   +1 more source

LP-Kenmotsu Manifolds Admitting Bach Almost Solitons

Universal Journal of Mathematics and Applications
For a Lorentzian para-Kenmotsu manifold of dimension $m$ (briefly, ${(LPK)_{m}}$) admitting Bach almost soliton $(g,\zeta,\lambda)$, we explored the characteristics of the norm of Ricci operator. Besides, we gave the necessary condition for ${(LPK)_{m}}
Mohd Bilal, Vindhyachal Singh Yadav, Abhinav Verma, Rajendra Prasad, Abdul Haseeb   +4 more
doaj   +1 more source