The length of a shortest geodesic loop
作者： Hans-Bert Rademacher
DOI: 10.1016/J.CRMA.2008.06.001
关键词: Metric (mathematics) 、 Geodesic 、 Curvature 、 Upper and lower bounds 、 Loop (topology) 、 Combinatorics 、 Manifold 、 Mathematical analysis 、 Convexity 、 Mathematics 、 Flag (linear algebra) 、 General Mathematics
摘要: Abstract We give a lower bound for the length of non-trivial geodesic loop on simply-connected and compact manifold even dimension with non-reversible Finsler metric positive flag curvature. Harris Paternain use this estimate in their recent paper to geometric characterization dynamically convex metrics 2-sphere. To cite article: H.-B. Rademacher, C. R. Acad. Sci. Paris, Ser. I 346 (2008).
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