Zermelo navigation on Riemannian manifolds

2004404 citationsJournal Articlebronze Open Access

Authors

Colleen Robles · Indiana University – Purdue University Indianapolis

Zhongmin Shen · University of Indianapolis

Abstract

In this paper, we study Zermelo navigation on Riemannian manifolds and use that to solve a long standing problem in Finsler geometry, namely the complete classification of strongly convex Randers metrics of constant flag curvature.

Topics & Keywords

Advanced Differential Geometry Research

Publication Details

Published in: Journal of Differential Geometry

Volume 66, Issue 3

DOI: 10.4310/jdg/1098137838

Field-Weighted Citation Impact: 5.03

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Zermelo navigation on Riemannian manifolds

Authors

Abstract

Topics & Keywords

Publication Details