Geodesic Convexity Types in Riemannian Manifolds

Octavian Mitrea

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arXiv · 1611.08643

Geodesic Convexity Types in Riemannian Manifolds

Octavian Mitrea

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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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Octavian Mitrea. 2016-11-26. Geodesic Convexity Types in Riemannian Manifolds. https://arxiv.org/abs/1611.08643

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