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Your search keyword '"Bahman Rezaei"' showing total 2 results
Start Over Author "Bahman Rezaei" Topic class (set theory) Topic mathematics::metric geometry
2 results on '"Bahman Rezaei"'

1. A Class of Finsler Metrics with Quadratic Curvatures

Author

Bahman Rezaei and Mehran Gabrani

Subjects
Algebra, Thesaurus (information retrieval), Class (set theory), Quadratic equation, 010102 general mathematics, 0103 physical sciences, Mathematics::Metric Geometry, Pharmacology (medical), Mathematics::Differential Geometry, 010307 mathematical physics, 0101 mathematics, 01 natural sciences, Mathematics
Abstract

Finsler metrics of quadratic curvatures form a rich and important class of metrics. In this paper, we study spherically symmetric metrics of quadratic curvatures. We find equations that characterize R-quadratic spherically symmetric Finsler metrics. In addition, we find the necessary and sufficient conditions for the metrics to be W-quadratic and Ricci-quadratic types.

Published
2019

2. General spherically symmetric Finsler metrics with constant Ricci and flag curvature

Author

Bahman Rezaei, Mehran Gabrani, and Esra Sengelen Sevim

Subjects
Class (set theory), Pure mathematics, 010102 general mathematics, Curvature, Special class, 01 natural sciences, Euclidean distance, Computational Theory and Mathematics, 0103 physical sciences, Mathematics::Metric Geometry, Mathematics::Differential Geometry, 010307 mathematical physics, Geometry and Topology, Tensor, 0101 mathematics, Constant (mathematics), Analysis, Ricci curvature, Mathematics, Flag (geometry)
Abstract

In this paper, we investigate the flag curvature of a special class of Finsler metrics called general spherically symmetric Finsler metrics, which are defined by a Euclidean metric and two related 1-forms. We find equations to characterize the class of metrics with constant Ricci curvature (tensor) and constant flag curvature. Moreover, we study general spherically symmetric Finsler metrics with the vanishing non-Riemannian quantity χ-curvature. In particular, we construct some new projectively flat Finsler metrics of constant flag curvature.

Published
2021

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