Projectively flat Finsler metrics with orthogonal invariance
Volume 107 / 2013
Annales Polonici Mathematici 107 (2013), 259-270
MSC: Primary 53B40; Secondary 58E20.
DOI: 10.4064/ap107-3-3
Abstract
We study Finsler metrics with orthogonal invariance. By determining an expression of these Finsler metrics we find a PDE equivalent to these metrics being locally projectively flat. After investigating this PDE we manufacture projectively flat Finsler metrics with orthogonal invariance in terms of error functions.
