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arxiv: 1006.3890 · v1 · submitted 2010-06-19 · 🧮 math.DG

Projective spherically symmetric Finsler metrics with constant flag curvature in R^n

classification 🧮 math.DG
keywords constantcurvaturefinslerflagmetricsprojectivesphericallysymmetric
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We investigate projective spherically symmetric Finsler metrics with constant flag curvature in $R^n$ and give the complete classification theorems. Furthermore, a new class of Finsler metrics with two parameters on n-dimensional disk are found to have constant negative flag curvature.

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