Surveys in Differential Geometry · 2006 · 142 citations · 19 references
Natural SciencesGeophysicsGeometryTopologyConvex AnalysisConvex GeometryConvex HullsConvex OptimizationMetric GeometryConvex FunctionsConvexityConvexity AnalysisConvexity ConditionsLower Semicontinuity
The following is a compilation of some techniques in Alexandrov's geometry which are directly connected to convexity.
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Curvature, diameter and betti numbers
Michael Gromov · Commentarii Mathematici Helvetici · 1981 · 354 citations
The Riemannian structure of Alexandrov spaces
Yukio Otsu, Takashi Shioya · Journal of Differential Geometry · 1994 · 183 citations · Full text
Bounding Homotopy Types by Geometry
Karsten Grove, Peter Petersen · Annals of Mathematics · 1988 · 133 citations
Collapsing and Pinching Under a Lower Curvature Bound
Takao Yamaguchi · Annals of Mathematics · 1991 · 121 citations
Vitali Kapovitch · Surveys in Differential Geometry · 2006 · 97 citations