Results 31 to 40 of about 68 (64)

On Generalized ϕ‐Recurrent (ϵ, δ)‐Trans‐Sasakian Manifolds

Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014
We study generalized ϕ‐recurrent (ϵ, δ)‐trans‐Sasakian manifolds. A relation between the associated 1‐forms A and B and relation between characteristic vector field ξ and the vector fields ρ1, ρ2 for a generalized ϕ‐recurrent.
C. S. Bagewadi, Dakshayani A. Patil, P. Li, C. Yin   +3 more
wiley   +1 more source

Study of η‐Ricci–Yamabe Solitons and Ricci–Yamabe solitons in a Lorentzian Nearly Kähler Space‐Time Manifold

Journal of Mathematics, Volume 2026, Issue 1, 2026.
An η‐Ricci–Yamabe solitons is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology. The objective of the present research is to examine η‐Ricci–Yamabe solitons and Ricci–Yamabe solitons on covariant projectively flat and concircularly flat ...
B. B. Chaturvedi, Neha Chauhan, Mohammad Nazrul Islam Khan, Smritijit Sen   +3 more
wiley   +1 more source

Some Curvature Properties of (LCS) n‐Manifolds

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
The object of the present paper is to study (LCS) n‐manifolds with vanishing quasi‐conformal curvature tensor. (LCS) n‐manifolds satisfying Ricci‐symmetric condition are also characterized.
Mehmet Atçeken, Narcisa C. Apreutesei
wiley   +1 more source

Characterizing ϕ(Ric)‐Vector Fields and Quasi‐Einstein Manifolds on Multiply Warped Product Manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
We characterize multiply warped product manifolds with ϕ(Ric)‐vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕ(Ric)‐vector field. In terms of physical applications, the multiply generalized Robertson–Walker spacetime is considered.
Moctar Traore, Ameth Ndiaye, Mansour Sane, Ildefonso Castro   +3 more
wiley   +1 more source

Da‐Homothetic Deformation of K‐Contact Manifolds

International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013
We study Da‐homothetic deformations of K‐contact manifolds. We prove that Da‐homothetically deformed K‐contact manifold is a generalized Sasakian space form if it is conharmonically flat. Further, we find expressions for scalar curvature of Da‐homothetically deformed K‐contact manifolds.
H. G. Nagaraja, C. R. Premalatha, A. M. Cegarra, J. L. Cieśliński   +3 more
wiley   +1 more source

On Almost C(α)-Manifold Satisfying Certain Curvature Conditions

Cumhuriyet Science Journal
This research article is about the geometry of the almost C(α)- manifold. Some important properties of the almost C(α)- manifold with respect to the W_3- curvature tensor, such as W_3-flat and W_3- semi-symmetry, are investigated.
Pakize Uygun, Tuğba Mert, Mehmet Atçeken   +2 more
doaj   +1 more source

2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi, Antonio Masiello   +3 more
wiley   +1 more source

On the M‐Projective Curvature Tensor of N(κ)‐Contact Metric Manifolds

International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013
The object of the present paper is to study some curvature conditions on N(κ)‐contact metric manifolds.
R. N. Singh, Shravan K. Pandey, J. Keesling, A. Morozov, E. Previato   +4 more
wiley   +1 more source

Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection [PDF]

Journal of Hyperstructures
The purpose of the present paper is to study some properties of α -Sasakian manifolds with respect to Schouten-van Kampen connection. We study η-Einstein soliton on pseudo-projectively flat α-Sasakian manifolds with respect to Schouten-van Kampen ...
Abhijit Mandal, Meghlal Mallik, Rima Das, Gopan Saha, Enamul Hoque, Md Rejuan   +5 more
doaj   +1 more source

The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav, Sameh Shenawy, Nasser Bin Turki, Rajendra Prasad, Mohammad Mirzazadeh   +4 more
wiley   +1 more source