Author
Yaning Wang
Bio: Yaning Wang is an academic researcher from Henan Normal University. The author has contributed to research in topics: Hypersurface & Ricci curvature. The author has an hindex of 1, co-authored 3 publications receiving 3 citations.
Papers
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TL;DR: In this article, the Ricci tensor of an almost Kenmotsu 3-manifold (M,ϕ,ξ,η,g) was shown to be cyclic-parallel.
Abstract: In this paper, we give a local characterization for the Ricci tensor of an almost Kenmotsu 3-manifold (M,ϕ,ξ,η,g) to be cyclic-parallel. As an application, we prove that if M has cyclic-parallel Ri...
3 citations
TL;DR: In this article, it was shown that an almost coKahler 3-manifold is semi-symmetric if and only if it is co-kahler and the vertical Ricci curvatures are invariant along the Reeb vector field.
Abstract: Let M be an almost coKahler 3-manifold such that the vertical Ricci curvatures are invariant along the Reeb vector field. In this paper, we prove that M is semi-symmetric if and only if it is coKahler.
3 citations
TL;DR: In this paper, it was shown that M is η-parallel with two distinct principal curvatures at each point in a nonflat complex space form of complex dimension two.
Abstract: Let M be a three-dimensional real hypersurface in a nonflat complex space form of complex dimension two. In this paper, we prove that M is η-parallel with two distinct principal curvatures at each ...
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TL;DR: In this paper , it was proved that if the metric of [formula: see text] satisfying the [formulas see text]-Einstein condition is an [Formula:see text]-Ricci soliton, then either [formulae see text], is Ricci flat or the potential vector field is an infinitesimal contact transformation.
Abstract: Let [Formula: see text] be an almost cosymplectic manifold such that the Reeb vector field is Killing. In this paper, it is proved that if the metric of [Formula: see text] satisfying the [Formula: see text]-Einstein condition is an [Formula: see text]-Ricci soliton, then either [Formula: see text] is Ricci flat or the potential vector field is an infinitesimal contact transformation. Also, a concrete example of cosymplectic [Formula: see text]-manifold admitting non-trivial Ricci and [Formula: see text]-Ricci solitons is constructed.
1 citations
TL;DR: In this paper , the authors characterize quasi-Einstein solitons within the framework of two classes of almost Kenmotsu manifolds, and consider an example to justify a result of their paper.
Abstract: The purpose of the article is to characterize \textbf{gradient $(m,\rho)$-quasi Einstein solitons} within the framework of two classes of almost Kenmotsu Manifolds. Finally, we consider an example to justify a result of our paper.
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TL;DR: In this paper, the authors characterize quasi-Einstein solitons within the framework of two classes of almost Kenmotsu Manifolds and consider an example to justify a result of their paper.
Abstract: The purpose of the article is to characterize \textbf{gradient $(m,\rho)$-quasi Einstein solitons} within the framework of two classes of almost Kenmotsu Manifolds. Finally, we consider an example to justify a result of our paper.
TL;DR: In this article, the Ricci operator of an almost cosymplectic 3-h-a-manifold is shown to be transversely Killing if and only if M is locally isometric to a product space of an open interval and a surface of constant Gauss curvature.
Abstract: Let M be an almost cosymplectic 3-h-a-manifold. In this paper, we prove that the Ricci operator of M is transversely Killing if and only if M is locally isometric to a product space of an open interval and a surface of constant Gauss curvature, or a unimodular Lie group equipped with a left invariant almost cosymplectic structure. Some corollaries of this result and some examples illustrating main results are given.
TL;DR: In this article , the authors introduced the notion of semi-parallel Hopf real hypersurfaces in the complex quadric (Q) and gave a nonexistence theorem for Semi-Parallel Real hypersurface (SPSR) for complex quadratic quadrangles.
Abstract: In this paper, we introduce the new notion of semi-parallel real hypersurface in the complex quadric \(Q^{m}\). Moreover, we give a nonexistence theorem for semi-parallel Hopf real hypersurfaces in the complex quadric \(Q^{m}\) for \(m \geq 3\).