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] Structures on generalized Sasakian-space-forms

P Alegre, A Carriazo - Differential Geometry and its applications, 2008‏ - Elsevier
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[PDF][PDF] Ricci solitons in Lorentzian α-Sasakian manifolds

CS Bagewadi, G Ingalahalli - Acta mathematica academiae paedagogicae …, 2012‏ - gwdg.de
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 …

Generalized Sasakian space forms and conformal changes of the metric

P Alegre, A Carriazo - Results in Mathematics, 2011‏ - Springer
Generalized Sasakian Space Forms and Conformal Changes of the Metric Page 1 Results. Math.
59 (2011), 485–493 c© 2011 Springer Basel AG 1422-6383/11/030485-9 published online …

On trans-Sasakian -manifolds as -Einstein solitons

D Ganguly, S Dey, A Bhattacharyya - arxiv preprint arxiv:2104.04791, 2021‏ - arxiv.org
The present paper is to deliberate the class of $3 $-dimensional trans-Sasakian manifolds
which admits $\eta $-Einstein solitons. We have studied $\eta $-Einstein solitons on $3 …

Ricci solitons and gradient Ricci solitons in three-dimensional trans-Sasakian manifolds

M Turan, UC De, A Yildiz - Filomat, 2012‏ - JSTOR
The object of the present paper is to study 3-dimensional trans-Sasakian manifolds
admitting Ricci solitons and gradient Ricci solitons. We prove that if (𝑔, 𝑉, 𝜆) is a Ricci …

On three-dimensional trans-Sasakian manifolds

UC De, A Sarkar - 2008‏ - dehesa.unex.es
The object of the present paper is to study 3-dimensional trans-Sasakian manifolds which
are locally 𝛷-symmetric and have 𝜂-parallel Ricci tensor. Also 3-dimensional trans …

[PDF][PDF] Some curvature tensors on a trans-Sasakian manifold

CS Bagewadi - Turkish Journal of Mathematics, 2007‏ - journals.tubitak.gov.tr
Some Curvature Tensors on a Trans-Sasakian Manifold Page 1 Turkish Journal of
Mathematics Volume 31 Number 2 Article 1 1-1-2007 Some Curvature Tensors on a Trans-Sasakian …

Trans-Sasakian manifolds homothetic to Sasakian manifolds

S Deshmukh - Mediterranean Journal of Mathematics, 2016‏ - Springer
In this paper, it is shown that for a 3-dimensional compact simply connected trans-Sasakian
manifold of type (α, β)(α, β), the smooth functions α, β α, β satisfy the Poisson equations Δ α …