Open AccessDOI
Riemannian manifolds with a semi-symmetric metric $P$-connection
S. K. Chaubey,Lee， Jaewon,Sunil Yadav +2 more
- Vol. 56, Iss: 4, pp 1113-1129
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The article was published on 2019-01-01 and is currently open access. It has received 13 citations till now. The article focuses on the topics: Connection (mathematics) & Metric (mathematics).read more
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Journal ArticleDOI
Characterizations of the Lorentzian manifolds admitting a type of semi-symmetric metric connection
TL;DR: In this paper, it was proved that a Lorentzian manifold endowed with a semi-symmetric metric connection is a GRW spacetime and characterized the Ricci semisymmetric manifold.
Journal ArticleDOI
Characterization of three-dimensional Riemannian manifolds with a type of semi-symmetric metric connection admitting Yamabe soliton
S. K. Chaubey,Uday Chand De +1 more
TL;DR: In this article, it was shown that a 3D Riemannian manifold endowed with a semi-symmetric ρ-connection, whose metric is a Yamabe soliton, is a manifold of constant sectional curvature − 1 and the soliton is expanding with soliton constant − 6.
Journal ArticleDOI
Lorentzian para-Sasakian Manifolds Admitting a New Type of Quarter-symmetric Non-metric ξ-connection
S. K. Chaubey,Uday Chand De +1 more
TL;DR: In this article, the authors define a new type of quarter-symmetric non-metric connection on an $LP$-Sasakian manifold and prove its existence.
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Characterizations of Lorentzian manifolds
S. K. Chaubey,Young Jin Suh +1 more
TL;DR: In this paper , the authors characterized the geodesically complete Lorentzian manifolds equipped with a semi-symmetric non-metric ρ-connection and established the conditions for such a manifold to be a generalized Robertson-Walker spacetime.
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Multi-Parametric Families of Solutions of Order $N$ to the Boussinesq and KP Equations and the Degenerate Rational Case
TL;DR: In this article, the authors construct rational solutions to the Boussinesq equation from elementary exponential functions which depend on several parameters, and give explicit expressions of these rational solutions for $N = 1$ until $N=3$ to shorten the paper.
References
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Curvature and Betti numbers
健太郎 矢野,Salomon Bochner +1 more
TL;DR: In this paper, the authors proposed a pseudo-harmonic tensors and pseudo-killing tensors in metric Manifolds with Torsion, which can be seen as a kind of semi-simple group spaces.
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Structure theorems on riemannian spaces satisfying R(X, Y) · R =0,
TL;DR: In this paper, Tanno et al. showed that the curvature tensor R of a locally symmetric Riemannian space satisfies R(X, Y) R − 0 for all tangent vectors X and 7, where the linear endomorphism R(x, y) acts on R as a derivation.
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Riemannian manifolds admitting a conformal transformation group
Kentaro Yano,Sumio Sawaki +1 more
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Symmetric Tensors of the Second Order Whose Covariant Derivatives Vanish
TL;DR: In this article, a new set of necessary and sufficient conditions for the existence of a symmetric tensor of the second order whose covariant derivatives are zero is given. But this is not the case in the case of a covariant tensor whose components vanishes.
Journal ArticleDOI
Second order parallel tensor in real and complex space forms
TL;DR: In this paper, the second order symmetric non-singular tensor is shown to be proportional to the metric tensor in a real space form of dimension greater than two.