Work

Affine vector fields on Finsle manifolds

Year: 2018

Type: preprint

Abstract: We give characterizations of affine transformations and affine vector fields in terms of the spray. By utilizing the Jacobi type equation that characterizes affine vector fields, we prove some rigidity theorems of affine vector fields on compact or forward complete non-compact Finsler manifolds with non-positive total Ricci curvature.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1811.08983

Authors: Huang, Libing, Xue, Qiong

Institutions: Wuhan University of Technology, Nankai University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Indiana University-Purdue University Indianapolis, Fundamental Research Funds for the Central Universities, Northwest Fisheries Science Center

OpenAlex ID: W2950991076

Cites: 2

Cited by:

Related to: 20