On strongly Ricci-Quadratic Finsler Metrics

Finsler metrics being Ricci-quadratic is a non-Riemannian condition since the Ricci curvature (tensor) is always Ricci-quadratic for Riemannian metrics. In this paper, we introduce the notion of strongly Ricci-quadratic Finsler metrics. We classify strongly Ricci-quadratic Randers metrics expressed...

Full description

Saved in:
Bibliographic Details
Published inThe Journal of geometric analysis Vol. 33; no. 10
Main Authors Sevim, Esra Sengelen, Shen, Zhongmin, Ülgen, Semail
Format Journal Article
LanguageEnglish
Published New York Springer US 01.10.2023
Springer Nature B.V
Subjects
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
Tensors
53B40
Ricci-quadratic
Sprays
Finsler metric
Ricci curvature tensor
53C60
Randers metric
Online AccessGet full text

Cover

More Information
Summary:Finsler metrics being Ricci-quadratic is a non-Riemannian condition since the Ricci curvature (tensor) is always Ricci-quadratic for Riemannian metrics. In this paper, we introduce the notion of strongly Ricci-quadratic Finsler metrics. We classify strongly Ricci-quadratic Randers metrics expressed in a navigation form.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-023-01389-5