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A Class of Projectively Flat Finsler Metrics
Received:June 15, 2012
Revised:September 03, 2012
Key Words
:
projectively flat
flag curvature
$(\alpha, \beta)$-metrics.
Fund Project
:
Supported by the National Natural Science Foundation of China (Grant No.11071005).
Author Name
Affiliation
Weidong SONG
College of Mathematics and Computer Science
,
Anhui Normal University
,
Anhui 241000
,
P. R. China
Jingyong ZHU
School of Mathematical Sciences
,
University of Science and Technology of China
,
Anhui 232600
,
P. R. China
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:
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:
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Abstract
:
In this paper, the authors study a class of Finsler metric defined by a Riemannian metric and a 1-form. We find a necessary and sufficient condition for the metric to be prejectively flat.
Citation:
DOI
:
10.3770/j.issn:2095-2651.2013.06.010
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