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Critical metrics with cyclic parallel Ricci tensor for volume functional on manifolds with boundary
Geometriae Dedicata, 2018In 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
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Real Hypersurfaces in ℂP 2 and ℂH 2 with Cyclic Parallel ∗-Ricci Tensor
Studia Scientiarum Mathematicarum Hungarica, 2021In 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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Cyclic-parallel Ricci tensors on a class of almost Kenmotsu 3-manifolds
International Journal of Geometric Methods in Modern Physics, 2019In 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
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Generalized Killing Ricci tensor for real hypersurfaces in the complex quadric
Mathematische Nachrichten, 2023Young Jin Suh
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On static manifolds and related critical spaces with cyclic parallel Ricci tensor
Advances in Geometry, 2020H Baltazar, A Da Silva
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Locally conformally flat affine hyperspheres with parallel Ricci tensor
Journal of Mathematical Analysis and Applications, 2023Zejun Hu, Cheng Xing
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Real hypersurfaces in complex hyperbolic two‐plane Grassmannians with parallel Ricci tensor
Mathematische Nachrichten, 2014Young Jin Suh, Changhwa Woo
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Real Hypersurfaces in the Complex Hyperbolic Quadric with Parallel Ricci Tensor
Results in Mathematics, 2019Gyu Jong Kim, Young Jin Suh
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PARALLEL*-RICCI TENSOR OF REAL HYPERSURFACES IN $\mathbb{C}P^{2}$ AND $\mathbb{C}H^{2}$
Taiwanese Journal of Mathematics, 2014George Kaimakamis +1 more
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