Projectively flat Finsler metrics with orthogonal invariance
Libing Huang ; Xiaohuan Mo
Annales Polonici Mathematici, Tome 107 (2013), p. 259-270 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:280893 
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     title = {Projectively flat Finsler metrics with orthogonal invariance},
     journal = {Annales Polonici Mathematici},
     volume = {107},
     year = {2013},
     pages = {259-270},
     zbl = {1266.53022},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-3}
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Libing Huang; Xiaohuan Mo. Projectively flat Finsler metrics with orthogonal invariance. Annales Polonici Mathematici, Tome 107 (2013) pp. 259-270. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-3/