Artículo
What do 'convexities' imply on Hadamard manifolds?
Autor/es | Kristály, Alexandru
Li, Chong López Acedo, Genaro Nicolae, Adriana |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2016-09 |
Fecha de depósito | 2016-09-20 |
Publicado en |
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Resumen | Various results based on some convexity assumptions (involving the exponential map along with affine maps, geodesics and convex hulls) have been recently established on Hadamard manifolds. In this paper we prove that these ... Various results based on some convexity assumptions (involving the exponential map along with affine maps, geodesics and convex hulls) have been recently established on Hadamard manifolds. In this paper we prove that these conditions are mutually equivalent and they hold if and only if the Hadamard manifold is isometric to the Euclidean space. In this way, we show that some results in the literature obtained on Hadamard manifolds are actually nothing but their well known Euclidean counterparts. |
Agencias financiadoras | Ministry of Education. Romania Dirección General de Enseñanza Superior. España |
Identificador del proyecto | PN-II-RU-TE-2011-3-0047
MTM2012-34847-C02-01 PN-II-RUPD-2012-3-0152 |
Cita | Kristály, A., Li, C., López Acedo, G. y Nicolae, A. (2016). What do 'convexities' imply on Hadamard manifolds?. Journal of Optimization Theory and Applications, 170 (3), 1068-1074. |
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