Results 11 to 20 of about 65 (57)

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

Almost η-Ricci Solitons on the Pseudosymmetric Lorentzian Para-Kenmotsu Manifolds

Earthline Journal of Mathematical Sciences, 2023
In this paper, we consider Lorentzian para-Kenmotsu manifold admitting almost $\eta-$Ricci solitons by virtue of some curvature tensors. Ricci pseudosymmetry concepts of Lorentzian para-Kenmotsu manifolds admitting $\eta-$Ricci soliton have introduced according to the choice of some curvature tensors such as Riemann, concircular, projective, $\mathcal ...
Tuğba Mert, Mehmet Atçeken
openaire   +1 more source

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

Invariant Submanifolds of a Lorentzian β-Kenmotsu Manifold

Amesia
In this paper we have investigated invariant submanifolds of Lorentzian β-Kenmotsu manifolds and obtained the necessary and sufficient conditions for total geodesic submanifolds of Lorentzian β-Kenmotsu manifolds.
Tuğba Mert, Mehmet Atçeken
doaj   +1 more source

On LP-Kenmotsu Manifold with Regard to Generalized Symmetric Metric Connection of Type (α, β)

Mathematics
In the current article, we examine Lorentzian para-Kenmotsu (shortly, LP-Kenmotsu) manifolds with regard to the generalized symmetric metric connection ∇G of type (α,β).
Doddabhadrappla Gowda Prakasha, Nasser Bin Turki, Mathad Veerabhadraswamy Deepika, İnan Ünal   +3 more
doaj   +1 more source