Projectively flat Finsler metrics with orthogonal invariance

• Autorzy: Libing Huang , Xiaohuan Mo
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53B40: Finsler spaces and generalizations (areal metrics)
• 58E20: Harmonic maps , etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 107
• Numer: 3
• Strony: 259-270

Daty

wydano

2013

Twórcy

autor

Libing Huang

• School of Mathematical Sciences, Nankai University, Tianjin 300071, P.R. China

autor

Xiaohuan Mo

• Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China

Identyfikatory

DOI

10.4064/ap107-3-3