Deux généralisation du «théorèm des trois cercles» de Hadamard.
Michel Lassalle (1980)
Mathematische Annalen
Vlad Sergiescu, Pierre Molino (1985)
Manuscripta mathematica
Ishikawa, G. (1999)
Lobachevskii Journal of Mathematics
Vladimír Lešovský (1982)
Archivum Mathematicum
Miron, R., Balan, V., Stavrinos, P.C., Tsagas, Gr. (1997)
Balkan Journal of Geometry and its Applications (BJGA)
Urs Lang (1995)
Manuscripta mathematica
Florent Balacheff, Stéphane Sabourau (2010)
Annales scientifiques de l'École Normale Supérieure
We prove a universal inequality between the diastole, defined using a minimax process on the one-cycle space, and the area of closed Riemannian surfaces. Roughly speaking, we show that any closed Riemannian surface can be swept out by a family of multi-loops whose lengths are bounded in terms of the area of the surface. This diastolic inequality, which relies on an upper bound on Cheeger’s constant, yields an effective process to find short closed geodesics on the two-sphere, for instance. We deduce...
Peter Buser (1979)
Commentarii mathematici Helvetici
Bruno Budinský, Zdeněk Novák (1971)
Aplikace matematiky
Jürgen Tölke (1976)
Časopis pro pěstování matematiky
Václav Havel (1964)
Commentationes Mathematicae Universitatis Carolinae
George Salmon (1879)
Analytische Geometrie des Raumes
H. Brauner (1985)
Monatshefte für Mathematik
H. Pottmann, W. Rath (1989)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Woldemar Barthel, Gudrun Bauer (1966)
Mathematische Zeitschrift
Reinhold Böhme (1975)
Manuscripta mathematica
Detlef Laugwitz (1970)
Journal für die reine und angewandte Mathematik
Hans Sachs (1986)
Monatshefte für Mathematik
Günter Aumann (1981)
Manuscripta mathematica
Helmut Pootmann (1986)
Monatshefte für Mathematik