Results 31 to 40 of about 75,365 (285)

On conformally Kähler, Einstein manifolds [PDF]

Journal of the American Mathematical Society, 2008
We prove that any compact complex surface with c 1 > 0 c_1>0 admits an Einstein metric which is conformally related to a Kähler metric. The key new ingredient is the existence of such a metric on the blow-up C P 2
Chen, Xiuxiong, LeBrun, Claude, Weber, Brian   +2 more
openaire   +3 more sources

Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold

Karpatsʹkì Matematičnì Publìkacìï, 2019
First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
doaj   +1 more source

Generalized Quasi-Einstein Manifolds in Contact Geometry

Mathematics, 2020
In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds.
İnan Ünal
doaj   +1 more source

Contact-Complex Riemannian Submersions

Mathematics, 2021
A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan, Şemsi Eken Meriç, Erol Kılıç   +2 more
doaj   +1 more source

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

Kenmotsu 3-manifolds and gradient solitons

Karpatsʹkì Matematičnì Publìkacìï, 2023
The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature ...
F. Mofarreh, U.C. De
doaj   +1 more source

Quarter-Symmetric Metric Connection on a Cosymplectic Manifold

Mathematics, 2023
We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A-connection, we construct the Weyl projective curvature tensor on a cosymplectic
Miroslav D. Maksimović, Milan Lj. Zlatanović   +1 more
doaj   +1 more source

On geometry of sub-Riemannian η-Einstein manifolds

Дифференциальная геометрия многообразий фигур, 2019
On a sub-Riemannian manifold of contact type a connection with torsion is considered, called in the work a Ψ-connection. A Ψ-connection is a particular case of an N-connection.
S. Galaev
doaj   +1 more source

Decomposition of geometric perturbations

, 2008
For an infinitesimal deformation of a Riemannian manifold, we prove that the scalar, vector, and tensor modes in decompositions of perturbations of the metric tensor, the scalar curvature, the Ricci tensor, and the Einstein tensor decouple if and only if
Arnowitt, Berera, Buniy, Deser, Deser, Landau, Roman V. Buniy, Thomas W. Kephart, Weinberg, York   +9 more
core   +1 more source

On generalized Quasi Einstein manifolds

Filomat, 2014
Quasi Einstein manifold is a simple and natural generalization of an Einstein manifold. The object of the present paper is to study some geometric properties of generalized quasi Einstein manifolds. Two non-trivial examples have been constructed to prove the existence of a generalized quasi Einstein manifold.
De A., Yildiz A., De U.C.
openaire   +3 more sources