Isoperimetric inequalities and Dirichlet functions of Riemann surfaces.

José M. Rodríguez

Displaying similar documents to “Isoperimetric inequalities and Dirichlet functions of Riemann surfaces.”

Two remarks on Riemann surfaces.

José M. Rodriguez (1994)

Publicacions Matemàtiques

Similarity:

We study the relationship between linear isoperimetric inequalities and the existence of non-constant positive harmonic functions on Riemann surfaces. We also study the relationship between growth conditions of length of spheres and the existence and the existence of Green's function on Riemann surfaces.

Lengths of geodesics on Riemann surfaces with boundary.

Parlier, Hugo (2005)

Annales Academiae Scientiarum Fennicae. Mathematica

Similarity:

Involutions and simple closed geodesics on Riemann surfaces.

Schmutz Schaller, Paul (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

Similarity:

Geometric characterization of hyperelliptic Riemann surfaces.

Schmutz Schaller, Paul (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

Similarity:

Isoperimetric inequalities in Riemann surfaces of infinite type.

Venancio Alvarez, Domingo Pestana, José M. Rodríguez (1999)

Revista Matemática Iberoamericana

Similarity:

Isospectral Riemann surfaces

Peter Buser (1986)

Annales de l'institut Fourier

Similarity:

We construct new examples of compact Riemann surfaces which are non isometric but have the same spectrum of the Laplacian. Examples are given for genus $g = 5$ and for all $g \geq 7$ . In a second part we give examples of isospectral non isometric surfaces in $R^{3}$ which are realizable by paper models.