Results 11 to 20 of about 70,935 (267)
The Quantum Geometric Tensor in a Parameter-Dependent Curved Space
Entropy, 2022 We introduce a quantum geometric tensor in a curved space with a parameter-dependent metric, which contains the quantum metric tensor as the symmetric part and the Berry curvature corresponding to the antisymmetric part.
Joan A. Austrich-Olivares +1 more
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Multiply Warped Products with a Semisymmetric Metric Connection
Abstract and Applied Analysis, 2014 We study the Einstein multiply warped products with a semisymmetric metric connection and the multiply warped products with a semisymmetric metric connection with constant scalar curvature, and we apply our results to generalized Robertson-Walker space ...
Yong Wang
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The connected metric dimension at a vertex of a graph [PDF]
Theoretical Computer Science, 2020 The notion of metric dimension, $dim(G)$, of a graph $G$, as well as a number of variants, is now well studied. In this paper, we begin a local analysis of this notion by introducing $cdim_G(v)$, \emph{the connected metric dimension of $G$ at a vertex $v$}, which is defined as follows: a set of vertices $S$ of $G$ is a \emph{resolving set} if, for any ...
Linda Eroh, Cong X. Kang, Eunjeong Yi
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Lifting semi-invariant submanifolds to distribution of almost contact metric manifolds
Дифференциальная геометрия многообразий фигур, 2020 Let M be an almost contact metric manifold of dimension n = 2m + 1. The distribution D of the manifold M admits a natural structure of a smooth manifold of dimension n = 4m + 1.
A. Bukusheva
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Probabilistic modular metric spaces [PDF]
Journal of Hyperstructures, 2020 The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the ...
Kianoush Fathi Vajargah +1 more
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Conditions on a connection to be a metric connection [PDF]
Communications in Mathematical Physics, 1973 It is shown that a torsion free linear connection is determined by a metric of given signature if and only if its holonomy group is a subgroup of the orthogonal group corresponding to the signature.
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Quarter-symmetric metric connection in a P-Sasakian manifold
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection.
Mandal Krishanu, De Uday Chand
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Study of Kenmotsu manifolds with semi-symmetric metric connection
Universal Journal of Mathematics and Applications, 2018 The present paper deals with the study of Kenmotsu manifolds equipped with a semi-symmetric metric connection. The properties of $\eta-$parallel Ricci tensor, globally symmetric and $\phi-$symmetric Kenmotsu manifolds with the semi-symmetric metric ...
Sudhakar Chaubey, Sunil Kr Yadav
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Sasakian Statistical Manifolds with Semi-Symmetric Metric Connection
Universal Journal of Mathematics and Applications, 2018 In the present paper, firstly we express the relation between the semi-symmetric metric connection $\tilde{\nabla}$ and the torsion-free connection $\nabla$ and obtain the relation between the curvature tensors $\tilde{R}$ of $\tilde{\nabla}$ and $R$ of $
Ahmet Kazan, Sema Kazan
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Metrics of a space with linear connection which is not semi-symmetric
Дифференциальная геометрия многообразий фигур, 2022 It is well-known Levi-Chivita’s construction of object for affine connection (in modern terminology — linear connection) by the field of non-degenerate metric on a smooth manifold.
Yu. I. Shevchenko, A.V. Vyalova
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