On affine subspaces that illuminate a convex set.
Bezdek, Károly (1994)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Estimating the diameter of the space of planar convex figures with respect to an affine-invariant metric.”
On affine subspaces that illuminate a convex set.
Projectively invariant distances for affine and projective structures
Shoshichi Kobayashi (1984)
Banach Center Publications
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Affinely invariant symmetry sets
Peter Giblin (2008)
Banach Center Publications
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The classical medial axis and symmetry set of a smooth simple plane curve M, depending as they do on circles bitangent to M, are invariant under euclidean transformations. This article surveys the various ways in which the construction has been adapted to be invariant under affine transformations. They include affine distance and area constructions, and also the 'centre symmetry set' which generalizes central symmetry. A connexion is also made with the tricentre set of a convex plane...
Affine differential invariants for planar curves.
Nadjafikhah, Mehdi (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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On the connection of recurrence of metric, eigen tensors and transition of length in W-On spaces.
A. Moór, Dj.F. Nadj (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Fat equicontinuous groups of homeomorphisms of linear topological spaces and their application to the problem of isometries in linear metric spaces
P. Mankiewicz (1979)
Studia Mathematica
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Invariant metrics on convex cones
Edoardo Vesentini (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the affine rectification of convex curves.
Leichtweiss, Kurt (1999)
Beiträge zur Algebra und Geometrie
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Affine spheres with constant affine sectional cuvature.
Udo Simon, An-Mi Li, Luc Vrancken (1991)
Mathematische Zeitschrift
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On affine geometric product objects
Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Affine and convex functions with respect to the logarithmic mean
Janusz Matkowski (2003)
Colloquium Mathematicae
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The class of all functions f:(0,∞) → (0,∞) which are continuous at least at one point and affine with respect to the logarithmic mean is determined. Some related results concerning the functions convex with respect to the logarithmic mean are presented.
Bifurcations of affine invariants for one-parameter family of generic convex plane curves
Takashi Sano (1999)
Banach Center Publications
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We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.