2004/09/18 by Gautier Berck, Berck, Gautier
Agricultural and Biological Sciences · Earth and Planetary Sciences · Mathematics · Social Sciences · #49Q05 #53B40 #Aeolian processes and effects #Differential Geometry (math.DG) #FOS: Mathematics #Historical Geography and Cartography #Soil erosion and sediment transport #math.DG #msc:49Q05 #msc:53B40
paper · pdf · doi:10.48550/arxiv.math/0409320
17 pages, 3 figures, in French
arxiv created 2004/09/18 · openalex publication_date 2004/09/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that if the Holmes-Thompson volume definition is used, totally geodesic submanifolds of a Finsler space are minimal. The analogous result for the Hausdorff measure is known to be false. ----- Nous montrons que les sous-varietes totalement geodesiques d'une variete de Finsler sont minimales pour le volume de Holmes-Thompson. Pour la mesure de Hausdorff, des contre-exemples a ce resultat sont connus.