Geometric mean curvature lines on surfaces immersed in
Ronaldo Garcia, Jorge Sotomayor (2002)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “Game-theoretic schemes for generalized curvature flows in the plane.”
Geometric mean curvature lines on surfaces immersed in
Two examples of fattening for the curvature flow with a driving force
Giovanni Bellettini, Maurizio Paolini (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We provide two examples of a regular curve evolving by curvature with a forcing term, which degenerates in a set having an interior part after a finite time.
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We relate the total curvature and the isoperimetric deficit of a curve in a two-dimensional space of constant curvature with the area enclosed by the evolute of . We provide also a Gauss-Bonnet theorem for a special class of evolutes.
Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in R.
Ronaldo García, Jorge Sotomayor (2001)
Publicacions Matemàtiques
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In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in R whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines the immersions bend in R according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal for the immersion, the pair of foliations by lines of...
Fattening on two dimensions obtained with a nonsymmetric anisotropy: Numerical simulations.
Paolini, M. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Rendiconti del Seminario Matematico della Università di Padova
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Harish Seshadri (2007-2008)
Séminaire de théorie spectrale et géométrie
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We discuss the notion of isotropic curvature of a Riemannian manifold and relations between the sign of this curvature and the geometry and topology of the manifold.