Geodesic Convexity Types in Riemannian Manifolds

2016/11/26 by Octavian Mitrea, Mitrea, Octavian
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Morphological variations and asymmetry #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1611.08643

openalex publication_date 2016/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The usual notion of set-convexity, valid in the classical Euclidean context, metamorphoses into several distinct convexity types in the more general Riemannian setting. By studying this phenomenon in reverse, we characterize complete manifolds for which certain convexity types are assumed a priori to coincide.

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