Diastolic and isoperimetric inequalities on surfaces

Florent Balacheff; Stéphane Sabourau

Displaying similar documents to “Diastolic and isoperimetric inequalities on surfaces”

Estimations of the best constant involving the L norm in Wente's inequality and compact H-surfaces in Euclidean space

Ge Yuxin (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In the first part of this paper, we study the best constant involving the L norm in Wente's inequality. We prove that this best constant is universal for any Riemannian surface with boundary, or respectively, for any Riemannian surface without boundary. The second part concerns the study of critical points of the associate energy functional, whose Euler equation corresponds to H-surfaces. We will establish the existence of a non-trivial critical point for a plan domain with small holes....

Riemannian metrics on Teichmüller space.

Jürgen Jost, Lutz Habermann (1996)

Manuscripta mathematica

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On a Riemannian space of class one and its associated space

R. K. Garai (1972)

Matematički Vesnik

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The revival of the Riemannian approach to integration

Jaroslav Kurzweil (2004)

Banach Center Publications

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On almost-Riemannian surfaces

Roberta Ghezzi (2010-2011)

Séminaire de théorie spectrale et géométrie

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An almost-Riemannian structure on a surface is a generalized Riemannian structure whose local orthonormal frames are given by Lie bracket generating pairs of vector fields that can become collinear. The distribution generated locally by orthonormal frames has maximal rank at almost every point of the surface, but in general it has rank 1 on a nonempty set which is generically a smooth curve. In this paper we provide a short introduction to 2-dimensional almost-Riemannian geometry highlighting...