Results 111 to 120 of about 4,558 (149)

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
semanticscholar   +3 more sources

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, Wang, Lisheng
semanticscholar   +5 more sources

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

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
semanticscholar   +3 more sources

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.
Kowalski, Oldřich, Sekizawa, Masami
semanticscholar   +4 more sources

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Generalized Killing Ricci tensor for real hypersurfaces in the complex quadric

Mathematische Nachrichten, 2022
First we introduce a new notion of generalized Killing Ricci tensor which is equivalent to the notion of cyclic parallel Ricci tensor for real hypersurfaces in the complex quadric Qm=SOm+2/SOmSO2$Q^m = SO_{m+2}/SO_mSO_2$ .
Y. Suh
semanticscholar   +1 more source

η-Ricci--Yamabe and *-η-Ricci--Yamabe solitons in Lorentzian para-Kenmotsu manifolds

Analysis
The main purpose of this paper is to study η-Ricci–Yamabe solitons (η-RYS) and * {*} -η-Ricci–Yamabe solitons ( * {*} -η-RYS) in Lorentzian para-Kenmotsu n-manifolds (briefly, ( LPK ) n {(\mathrm{LPK})_{n}} ). We study the curvature condition R .
Rajendra Prasad, A. Haseeb, Vinay Kumar
semanticscholar   +1 more source

On Special Weakly Ricci-Symmetric Kenmotsu Manifolds

Sarajevo Journal of Mathematics
In this paper, we have studied special weakly Ricci symmetric Kenmotsu manifolds. We show that if a special weakly Riccisymmetric Kenmotsu manifold admits a cyclic parallel Ricci tensor then the associate 1–form $\alpha$ must be zero.
N. Aktan, Ali Gorgülü, Erdal Özüsağlam   +2 more
semanticscholar   +1 more source