Results 1 to 10 of about 70,935 (267)

Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle

Mathematics
The lifts of Sasakian statistical manifolds associated with a semi-symmetric metric connection in the tangent bundle are characterized in the current research.
Rajesh Kumar, Uday Chand De, Nasser Bin Turki   +2 more
exaly   +3 more sources

Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection

Journal of New Theory, 2021
In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection.
Ramazan Sarı
doaj   +1 more source

Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle

Mathematics, 2022
The objective of this paper is to explore the complete lifts of a quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle.
Mohammad Nazrul Islam Khan, Uday Chand De, Ljubica S. Velimirović   +2 more
doaj   +1 more source

A New Vertex Connectivity Metric

CoRR, 2021
A new metric for quantifying pairwise vertex connectivity in graphs is defined and an implementation presented. While general in nature, it features a combination of input features well-suited for social networks, including applicability to directed or undirected graphs, weighted edges, and computes using the impact from all-paths between the vertices.
David L. Rhodes, Breanna N. Johnson
openaire   +2 more sources

Quarter-Symmetric Metric Connection on a Cosymplectic Manifold

Mathematics, 2023
We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A-connection, we construct the Weyl projective curvature tensor on a cosymplectic
Miroslav D. Maksimović, Milan Lj. Zlatanović   +1 more
doaj   +1 more source

Contact and almost contact structures on the real extension of the Lobachevsky plane

Учёные записки Казанского университета: Серия Физико-математические науки, 2021
In this article, we propose a group model G of a real extension of the Lobachevsky plane H2 × R . The group G is a Lie group of special-form matrices and a subgroup of the general linear group GL(3, R).
V.I. Pan’zhenskii, A.O. Rastrepina
doaj   +1 more source

Connecting and Closed Geodesics of a Kropina Metric [PDF]

Advanced Nonlinear Studies, 2021
Abstract We prove some results about existence of connecting and closed geodesics in a manifold endowed with a Kropina metric. These have applications to both null geodesics of spacetimes endowed with a null Killing vector field and Zermelo’s navigation problem with critical wind.
Erasmo Caponio, Fabio Giannoni, Antonio Masiello, Stefan Suhr   +3 more
openaire   +4 more sources

Index of pseudo-projectively-symmetric semi-Riemannian manifolds

Karpatsʹkì Matematičnì Publìkacìï, 2015
The index of $\widetilde{\nabla}$-pseudo-projectively symmetric and in particular for $\widetilde{\nabla}$-projectively symmetric semi-Riemannian manifolds, where $\widetilde{\nabla}$ is Ricci symmetric metric connection, are discussed.
P. Gupta
doaj   +1 more source

The left-invariant contact metric structure on the Sol manifold

Учёные записки Казанского университета: Серия Физико-математические науки, 2020
Among the known eight-dimensional Thurston geometries, there is a geometry of the Sol manifold – a Lie group consisting of real special matrices. For a left-invariant Riemannian metric on the Sol manifold, the left shift group is a maximal simple ...
V.I. Pan’zhenskii, A.O. Rastrepina
doaj   +1 more source

Geodesics in metrical connections [PDF]

Proceedings of the American Mathematical Society, 1971
To each connection on a Riemannian manifold we define a tensor called the Q -tensor. We prove that two metrical connections have the same geodesics if and only if their Q -tensors are equal.
openaire   +1 more source