On a special type of generalized Berwald manifolds: semi-symmetric linear connections preserving the Finslerian length of tangent vectors
type: Item
instance of: scholarly article
title: On a special type of generalized Berwald manifolds: semi-symmetric linear connections preserving the Finslerian length of tangent vectors
zbMATH Open document ID: 1384.53024
author: Csaba Vincze
published in: European Journal of Mathematics
publication date: 2018-02-08T00:00:00Z
review text: The author obtains new results on the theory of generalized Berwald manifolds. He also obtains new and interesting results on Asanov's Finsleroid-Finsler metrics. In this respect, the author characterizes this kind of metrics as the solution of a conformal rigidity problem and he proves that a Finsleroid-Finsler manifold is a Landsberg manifold (Unicorn), if and only if it is a generalized Berwald manifold with a semi-symmetric compatible linear connection.
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 53C65
Mathematics Subject Classification ID: 52A21
zbMATH DE Number: 6835963
zbMATH Keywords: Finsler manifolds
zbMATH Keywords: generalized Berwald manifolds
zbMATH Keywords: special Finsler metrics
reviewed by: Laurian Ioan Piscoran
MaRDI profile type: Publication
full work available at URL: s40879-017-0153-5
OpenAlex ID: W2622155268
cites work: On the holonomy of connections with skew-symmetric torsion
cites work: Averaged Riemannian metrics and connections with application to locally conformal Berwald manifolds
cites work: On the Perimeter and Area of the Unit Disc
cites work: Monotonicity theorems and inequalities for the complete elliptic integrals
cites work: The theory of sprays and Finsler spaces with applications in physics and biology
cites work: Finslerian metric functions over the product \(\mathbb{R}\times M\) and their potential applications
cites work: Finsleroid-Finsler spaces of positive-definite and relativistic types
cites work: Q5459616
cites work: Q3128806
cites work: Zermelo navigation on Riemannian manifolds
cites work: Q3024076
cites work: A Robbins–Monro-type algorithm for computing global minimizer of generalized conic functions
cites work: Some remarks about Lie groups transitive on spheres and tori
cites work: Q5802801
cites work: A Theorem on Homogeneous Functions
cites work: Bieberbach groups and flat manifolds
cites work: Q2900171
cites work: Q5435411
cites work: Q2938869
cites work: A volume comparison theorem for Finsler manifolds
cites work: Q3266883
cites work: The isotropic position and the reverse Santaló inequality
cites work: Sphere transitive structures and the triality automorphism
cites work: Structure presque tangente et connexions. I
cites work: Structure presque tangente et connexions. II
cites work: Q4057266
cites work: On conformal transformations of Finsler metrics
cites work: Q3896186
cites work: Q4315426
cites work: Formes extérieures génératrices de sprays
cites work: Q3725106
cites work: Conformally Berwald and conformally flat Finsler spaces
cites work: Geodesics of two-dimensional Finsler spaces
cites work: Finsler conformal Lichnerowicz-Obata conjecture
cites work: The Binet-Legendre metric in Finsler geometry
cites work: Completeness and incompleteness of the Binet-Legendre metric
cites work: On the Blaschke-Santaló inequality
cites work: Transformation groups of spheres
cites work: Q3021327
cites work: Q3223491
cites work: Sharp power mean bounds for the Gaussian hypergeometric function
cites work: Über die Finslerräume mit \(S_{ijkl} = O\)
cites work: Differential geometry of spray and Finsler spaces
cites work: On the transitivity of holonomy systems
cites work: Generalized spaces with many isometries
cites work: Q3915586
cites work: Q4226219
cites work: Q4515256
cites work: Generalized Berwald spaces with \((\alpha, \beta)\)-metrics
cites work: On a lower and upper bound for the curvature of ellipses with more than two foci
cites work: On a new geometrical derivation of two-dimensional Finsler manifolds with constant main scalar
cites work: Q4487319
cites work: On Wagner connections and Wagner manifolds
cites work: Q4432123
cites work: Q4461835
cites work: On the curvature of the indicatrix surface in three-dimensional Minkowski spaces
cites work: Q5475668
cites work: On a scale function for testing the conformality of a Finsler manifold to a Berwald manifold
cites work: On geometric vector fields of Minkowski spaces and their applications
cites work: On an existence theorem of Wagner manifolds

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On a special type of generalized Berwald manifolds: semi-symmetric linear connections preserving the Finslerian length of tangent vectors (DOI)
DOI: 10.1007/S40879-017-0153-5