Projectively flat Finsler metrics with orthogonal invariance

Libing Huang; Xiaohuan Mo

Annales Polonici Mathematici (2013)

  • Volume: 107, Issue: 3, page 259-270
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Libing Huang, and Xiaohuan Mo. "Projectively flat Finsler metrics with orthogonal invariance." Annales Polonici Mathematici 107.3 (2013): 259-270. <http://eudml.org/doc/280893>.

@article{LibingHuang2013,
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.},
author = {Libing Huang, Xiaohuan Mo},
journal = {Annales Polonici Mathematici},
keywords = {insler metric; projectively flat; error function; orthogonal invariance},
language = {eng},
number = {3},
pages = {259-270},
title = {Projectively flat Finsler metrics with orthogonal invariance},
url = {http://eudml.org/doc/280893},
volume = {107},
year = {2013},
}

TY - JOUR
AU - Libing Huang
AU - Xiaohuan Mo
TI - Projectively flat Finsler metrics with orthogonal invariance
JO - Annales Polonici Mathematici
PY - 2013
VL - 107
IS - 3
SP - 259
EP - 270
AB - 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.
LA - eng
KW - insler metric; projectively flat; error function; orthogonal invariance
UR - http://eudml.org/doc/280893
ER -

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