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 …

[HTML][HTML] Nullity conditions in paracontact geometry

BC Montano, IK Erken, C Murathan - Differential Geometry and its …, 2012 - Elsevier
The paper is a complete study of paracontact metric manifolds for which the Reeb vector
field of the underlying contact structure satisfies a nullity condition (the condition (1.2), for …

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 …

∗-Ricci Soliton within the frame-work of Sasakian and -contact manifold

A Ghosh, DS Patra - International Journal of Geometric Methods in …, 2018 - World Scientific
We prove that if a Sasakian metric is a∗-Ricci Soliton, then it is either positive Sasakian, or
null-Sasakian. Next, we prove that if a complete Sasakian metric is an almost gradient∗ …

[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 on 3-dimensional cosymplectic manifolds

Y Wang - Mathematica Slovaca, 2017 - degruyter.com
Ricci solitons on 3-dimensional cosymplectic manifolds Skip to content Should you have
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Kenmotsu 3-metric as a Ricci soliton

A Ghosh - Chaos, Solitons & Fractals, 2011 - Elsevier
Kenmotsu 3-metric as a Ricci soliton - ScienceDirect Skip to main contentSkip to article
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Almost {\alpha}-Cosymplectic ({\kappa},{\mu},{\nu})-Spaces

H Öztürk, N Aktan, C Murathan - arXiv preprint arXiv:1007.0527, 2010 - arxiv.org
Main interest of the present paper is to investigate the almost {\alpha}-cosymplectic
manifolds for which the characteristic vector field of the almost {\alpha}-cosymplectic …

A generalization of the Goldberg conjecture for coKähler manifolds

Y Wang - Mediterranean Journal of Mathematics, 2016 - Springer
Let M be a compact almost coKähler manifold. If the metric g of M is a Ricci soliton and the
potential vector field is pointwise collinear with the Reeb vector field, then we prove that M is …

Certain contact metrics as Ricci almost solitons

A Ghosh - Results in Mathematics, 2014 - Springer
We show that if a compact K-contact metric is a gradient Ricci almost soliton, then it is
isometric to a unit sphere S 2 n+ 1. Next, we prove that if the metric of a non-Sasakian (κ, μ) …