Geometric optimal control and two-level dissipative quantum systems
Bernard Bonnard, Dominique Sugny (2009)
Control and Cybernetics
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Bernard Bonnard, Dominique Sugny (2009)
Control and Cybernetics
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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...
Ronaldo Garcia, Jorge Sotomayor (2002)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Eduardo H. A. Gonzales, Umberto Massari, Italo Tamanini (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The existence of a singular curve in is proven, whose curvature can be extended to an function. The curve is the boundary of a two dimensional set, minimizing the length plus the integral over the set of the extension of the curvature. The existence of such a curve was conjectured by E. De Giorgi, during a conference held in Trento in July 1992.
Bronisław Jakubczyk (2009)
Control and Cybernetics
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Giulio Tralli (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Lohkamp, Joachim (1998)
Documenta Mathematica
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Vladimir Gurman (2009)
Control and Cybernetics
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