Generalized Geodesic Convexity on Riemannian Manifolds
نویسندگان
چکیده
منابع مشابه
Riemannian Barycentres and Geodesic Convexity Riemannian Barycentres and Geodesic Convexity
Consider a closed subset of a Riemannian manifold, such that all geodesics with end-points in the subset are contained in the subset, and the subset has boundary of codimension one. Is it the case that Riemannian barycentres of probability measures supported by the subset must also lie in the subset? It is shown that this is the case for 2-manifolds but not the case in higher dimensions: a coun...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2019
ISSN: 2227-7390
DOI: 10.3390/math7060547