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Finsler Metrics with K=0 and S=0 | | Zhongmin Shen
; | | Date: |
10 Sep 2001 | | Subject: | Differential Geometry; Metric Geometry MSC-class: 53C60 | math.DG math.MG | | Abstract: | In Finsler geometry, there are infinitely many models of constant curvature. The Funk metrics, the Hilbert-Klein metrics and the Bryant metrics are projectively flat with non-zero constant curvature. A recent example constructed by the author is projectively flat with zero curvature. In this paper, we introduce a technique to construct non-projectively flat Finsler metrics with zero curvature in each dimension. The technique can be used to construct many non-projectively flat Finsler metrics of constant curvature. | | Source: | arXiv, math.DG/0109060 | | Services: | Forum | Review | PDF | Favorites | |
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