File: Geometry Pdf 166345 | 6254 11511 2006 Article Bf02395060
riemannian geometry as determined by the volumes of small geodesic balls by a gray and l vanhecke university of maryland katholieke universiteit leuven college park maryland u s 4 leuven ...
Filetype PDF | Posted on 25 Jan 2023 | 4 years ago
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...Riemannian geometry as determined by the volumes of small geodesic balls a gray and l vanhecke university maryland katholieke universiteit leuven college park u s belgium introduction let m be an n dimensional manifold class c for r fro denote volume ball with center radius this paper is con cerned following question to what extent do unctions determine o in particular we shall concerned conjec ture i suppose vm all e su liclently then fiat here unit simplest expression eo w where rn f first make several remarks our method attacking conjecture will use power series expan sion expansion considered detail section however general facts about it are term corn b coefficient vanishes provided k odd coefficients even can expressed terms curvature unfortunately nonzero depend on rather complicated way makes resolution interesting problem knowledge was bertrand diguet puiseux see also these papers two computed surfaces rs acta mathematica imprim le mai denotes gaussian at fact reason why author...