-Ricci solitons on para-Kenmotsu manifolds

AM Blaga - arXiv preprint arXiv:1402.0223, 2014 - arxiv.org
In the context of paracontact geometry, $\eta $-Ricci solitons are considered on manifolds
satisfying certain curvature conditions: $(\xi,\cdot) _ {R}\cdot S= 0$, $(\xi,\cdot) _ {S}\cdot R …

From the Eisenhart problem to Ricci solitons in -Kenmotsu manifolds

C Călin, M Crasmareanu - arXiv preprint arXiv:1006.3132, 2010 - arxiv.org
The Eisenhart problem of finding parallel tensors is solved for the symmetric case in the
regular $ f $-Kenmotsu framework. On this way, the Olszack-Rosca example of Einstein …

Characterizations of the Lorentzian manifolds admitting a type of semi-symmetric metric connection

SK Chaubey, YJ Suh, UC De - Analysis and Mathematical Physics, 2020 - Springer
We set a type of semi-symmetric metric connection on the Lorentzian manifolds. It is proved
that a Lorentzian manifold endowed with a semi-symmetric metric ρ ρ-connection is a GRW …

Ricci solitons in Lorentzian α-Sasakian manifolds

CS Bagewadi, G Ingalahalli - Acta mathematica academiae …, 2012 - real.mtak.hu
We study Ricci solitons in Lorentzian α-Sasakian manifolds. It is shown that a symmetric
parallel second order covariant tensor in a Lorentzian α-Sasakian manifold is a constant …

Second order parallel tensors and Ricci solitons in -dimensional normal paracontact geometry

CL Bejan, M Crasmareanu - Annals of Global Analysis and Geometry, 2014 - Springer
The aim of this paper is to study two problems in the framework of paracontact geometry of
dimension 3 3, namely, the class of parallel symmetric tensor fields of (0, 2)(0, 2)-type and …

[PDF][PDF] η-Ricci solitons on Hopf hypersurfaces in complex space forms

C Calin, M Crasmareanu - Rev. Roumaine Math. Pures Appl, 2012 - math.uaic.ro
In 1923, Eisenhart [9] proved that if a positive definite Riemannian manifold (M, g) admits a
second order parallel symmetric covariant tensor other than a constant multiple of the metric …

Ricci solitons in manifolds with quasi-constant curvature

CL Bejan, M Crasmareanu - arXiv preprint arXiv:1006.4737, 2010 - arxiv.org
The Eisenhart problem of finding parallel tensors treated already in the framework of quasi-
constant curvature manifolds in\cite {x: j} is reconsidered for the symmetric case and the …

[PDF][PDF] On gradient η-Einstein solitons

AM Blaga - Kragujevac Journal of Mathematics, 2018 - elib.mi.sanu.ac.rs
ON GRADIENT η-EINSTEIN SOLITONS 1. Introduction In the same way like the Ricci solitons
generate self-similar solutions to Ricc Page 1 Kragujevac Journal of Mathematics Volume …

η-Ricci solitons in (ε)-almost paracontact metric manifolds

AM Blaga, SY Perktaş, BE Acet, FE Erdoğan - Glasnik matematički, 2018 - hrcak.srce.hr
Sažetak The object of this paper is to study η-Ricci solitons on (ε)-almost paracontact metric
manifolds. We investigate η-Ricci solitons in the case when its potential vector field is exactly …

Riemannian manifolds with a semi-symmetric metric P-connection

SK Chaubey, JW Lee, SK Yadav - Journal of the Korean …, 2019 - koreascience.kr
We define a class of semi-symmetric metric connection on a Riemannian manifold for which
the conformal, the projective, the concircular, the quasi conformal and the m-projective …