Finsler Metrics with K=0 and S=0

Simple item page
dc.creatorShen, Zhongmin
dc.date2001-09-10
dc.date.accessioned2026-07-07T04:43:19Z
dc.date.available2026-07-07T04:43:19Z
dc.descriptionIn 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.
dc.description20 pages with three illustrations, latex file using texdraw.sty; Find related papers at http://www.math.iupui.edu/~zshen/index.html
dc.identifierhttps://arxiv.org/abs/math/0109060
dc.identifierhttp://arxiv.org/abs/math/0109060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62168
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C60
dc.titleFinsler Metrics with K=0 and S=0
dc.typetext

Files

Collections

arXiv