The isometry groups of riemannian manifolds admitting strictly convex functions
Takao Yamaguchi (1982)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature.”
The isometry groups of riemannian manifolds admitting strictly convex functions
Sufficient conditions for convexity in manifolds without focal points
M. Beltagy (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, local, global, strongly local and strongly global supportings of subsets in a complete simply connected smooth Riemannian manifold without focal points are defined. Sufficient conditions for convexity of subsets in the same sort of manifolds have been derived in terms of the above mentioned types of supportings.
A short remark on Kolmogoroff normability theorem.
Caruso, A. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Ball versus distance convexity of metric spaces.
Foertsch, Thomas (2004)
Beiträge zur Algebra und Geometrie
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Some results on stability and on characterization of K-convexity of set-valued functions
Tiziana Cardinali, Francesca Papalini (1993)
Annales Polonici Mathematici
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We present a stability theorem of Ulam-Hyers type for K-convex set-valued functions, and prove that a set-valued function is K-convex if and only if it is K-midconvex and K-quasiconvex.
Riemannian convexity in programming. II.
Udrişte, Constantin (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Remark on the Helly Number for Strongly Convex Sets on Riemannian Manifolds.
Norbert Kleinjohann (1981)
Manuscripta mathematica
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Uniformly Convex Metric Spaces
Martin Kell (2014)
Analysis and Geometry in Metric Spaces
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In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit a generalized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simple proof of reflexivity is presented and a weak topology of such spaces is analyzed. This topology, called coconvex topology, agrees with the usually weak topology in Banach spaces. An example of a CAT(0)-space with weak topology which is not Hausdorff is given. In the end existence and...
Convex Sets and Convex Combinations on Complex Linear Spaces
Hidenori Matsuzaki, Noboru Endou, Yasunari Shidama (2008)
Formalized Mathematics
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In this article, convex sets, convex combinations and convex hulls on complex linear spaces are introduced.MML identifier: CONVEX4, version: 7.8.10 4.99.1005