Results 151 to 160 of about 4,749,396 (175)

Curvature forms and Einstein-like metrics on Sasakian manifolds

Mathematical Journal of Okayama University, 1992
Let \((M,g)\) be a Riemannian manifold, \(\text{Ric}(g)\) is the Ricci tensor and \(\nabla\) the Levi-Civita connection of \(g\). The authors denote with \(\mathcal A\) and \(\mathcal B\) the classes of all Riemannian manifolds satisfying the following two conditions, respectively, \[ {\mathfrak G}_{XYZ} [\nabla_ X \text{Ric} (g)] (Y,Z) = 0 ...
ABBENA, Elsa, GARBIERO, Sergio
openaire   +4 more sources

Einstein-Like Curvature Homogeneous Lorentzian Three-Manifolds

Results in Mathematics, 2009
We completely classify three-dimensional curvature homogeneous Lorentzian manifolds equipped with either Einstein-like or conformally flat metrics. New examples arise, with respect to both locally homogeneous and curvature homogeneous up to order one examples [8, 9].
openaire   +2 more sources

Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds

Geometriae Dedicata, 2007
A pseudo-Riemannian manifold \((M,g)\) with the Ricci tensor \(\rho\) is called Ricci cyclic parallel if \[ (\nabla_X \rho)(Y,Z) + (\nabla_Y \rho)(Z,X) + (\nabla_Z \rho)(X,Y) =0,\quad X,Y,Z \in TM \] and it is called Ricci-Codazzi manifold if \[ (\nabla_X \rho)(Y,Z) = (\nabla_Y \rho)(X,Z), \quad X,Y,Z \in TM .
openaire   +2 more sources

Einstein-like metrics on three-dimensional Riemannian homogeneous manifolds

1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ABBENA, Elsa, GARBIERO, Sergio, L. Vanhecke   +2 more
openaire   +2 more sources

A Study of Conformal \(\eta\)-Einstein Solitons on Trans-Sasakian 3-Manifold

Journal of Nonlinear Mathematical Physics, 2022
Santu Dey, Akram Ali, Arindam Bhattacharyya   +2 more
exaly  

Para-Sasaki-like Riemannian manifolds and new Einstein metrics

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
Mancho Hristov Manev, Stefan Ivanov, Hristo Manev   +2 more
exaly  

Einstein-like and conformally flat contact metric three-manifolds

2000
Let \((M,\eta, g,\xi, \phi)\) be a contact metric three-manifold. In this paper the author gives the following interesting classification results. a) The Ricci tensor of \(M\) is cyclic-parallel if and only if \(M\) is locally isometric to a naturally reductive homogeneous space.
openaire   +3 more sources

Trans-Sasakian 3-manifolds with Einstein-like Ricci operators

Quaestiones Mathematicae, 2022
Wenjie Wang
exaly  

Einstein-like manifolds which are not Einstein

Geometriae Dedicata, 1978
openaire   +2 more sources

EINSTEIN-LIKE METRICS ON FLAG MANIFOLDS

Modern Approaches to Differential Geometry and its Related Fields
Andreas ARVANITOYEORGOS, Yusuke SAKANE, Marina STATHA   +2 more
openaire   +1 more source