Results 101 to 110 of about 167 (126)

The Riemann extensions with cyclic parallel Ricci tensor

Mathematische Nachrichten, 2014
The property of being a D'Atri space (i.e., a Riemannian manifold with volume‐preserving geodesic symmetries) is equivalent, in the real analytic case, to the infinite number of curvature identities called the odd Ledger conditions. In particular, a Riemannian manifold satisfying the first odd Ledger condition L3 is said to be an L3‐space.
Oldrich Kowalski, Masami Sekizawa
exaly   +4 more sources

Cyclic-parallel Ricci tensors on a class of almost Kenmotsu 3-manifolds [PDF]

International Journal of Geometric Methods in Modern Physics, 2019
In this paper, we give a local characterization for the Ricci tensor of an almost Kenmotsu [Formula: see text]-manifold [Formula: see text] to be cyclic-parallel. As an application, we prove that if [Formula: see text] has cyclic-parallel Ricci tensor and satisfies [Formula: see text], (where [Formula: see text] is the Lie derivative of [Formula: see ...
Yaning Wang, Xinxin Dai
openaire   +2 more sources

Real Hypersurfaces in ℂP 2 and ℂH 2 with Cyclic Parallel ∗-Ricci Tensor

Studia Scientiarum Mathematicarum Hungarica, 2021
In this paper, we prove that the ∗-Ricci tensor of a real hypersurface in complex projective plane ℂP 2 or complex hyperbolic plane ℂH 2 is cyclic parallel if and only if the hypersurface is of type (A). We find some three-dimensional real hypersurfaces having non-vanishing and non-parallel ∗-Ricci tensors which are cyclic
Yaning Wang, Wenjie Wang
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Critical metrics with cyclic parallel Ricci tensor for volume functional on manifolds with boundary

Geometriae Dedicata, 2018
In this paper, the authors study the critical metrics with cyclic parallel Ricci tensor for volume functional on compact manifolds \((M^n,g)\), \((n\ge 3)\), with boundary \(\partial M\). A Riemannian metric \(g\) is said to be with cyclic parallel Ricci tensor if its Ricci tensor satisfies \(\nabla_X \mathrm{Ric}(Y,Z)+\nabla_Y \mathrm{Ric}(Z,X ...
Sheng Weimin
exaly   +3 more sources

Generalized Killing Ricci tensor for real hypersurfaces in the complex quadric

Mathematische Nachrichten, 2023
Young Jin Suh
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On static manifolds and related critical spaces with cyclic parallel Ricci tensor

Advances in Geometry, 2020
H Baltazar, A da Silva
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