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Conformal actions with prescribed periods on Riemann surfaces

G. Gromadzki, W. Marzantowicz (2011)

Fundamenta Mathematicae

It is a natural question what is the set of minimal periods of a holomorphic maps on a Riemann surface of negative Euler characteristic. Sierakowski studied ordinary holomorphic periods on classical Riemann surfaces. Here we study orientation reversing automorphisms acting on classical Riemann surfaces, and also automorphisms of non-orientable unbordered Klein surfaces to which, following Singerman, we shall refer to as non-orientable Riemann surfaces. We get a complete set of conditions for the...

Conformal and quasiconformal mappings of close multiply-connected domains.

Samsonia, Z., Zivzivadze, L. (2002)

Georgian Mathematical Journal

Conformal conjugation of Fuchsian groups from the first kind to the second kind.

K. Matsuzaki, H. Shiga (1996)

Journal für die reine und angewandte Mathematik

Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary.

Bonk, Mario, Kleiner, Bruce (2005)

Geometry & Topology

Conformal invariants in the punctured unit disk.

Anderson, G.D., Lehtinen, M., Vuorinen, M. (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Conformal mapping and inverse conductivity problem with one measurement

Marc Dambrine, Djalil Kateb (2007)

ESAIM: Control, Optimisation and Calculus of Variations

This work deals with a two-dimensional inverse problem in the field of tomography. The geometry of an unknown inclusion has to be reconstructed from boundary measurements. In this paper, we extend previous results of R. Kress and his coauthors: the leading idea is to use the conformal mapping function as unknown. We establish an integrodifferential equation that the trace of the Riemann map solves. We write it as a fixed point equation and give conditions for contraction. We conclude with a series...

Conformal Mapping by the Method of Alternating Projections.

Rudolf Wegmann (1989/1990)

Numerische Mathematik

Conformal Mapping of Riemann Surfaces and the Classical Theory of Univalent Functions

M. Shiba (2004)

Publications de l'Institut Mathématique

Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc

Vladimir Mityushev (1998)

Annales Polonici Mathematici

The conformal mapping ω(z) of a domain D onto the unit disc must satisfy the condition |ω(t)| = 1 on ∂D, the boundary of D. The last condition can be considered as a Dirichlet problem for the domain D. In the present paper this problem is reduced to a system of functional equations when ∂D is a circular polygon with zero angles. The mapping is given in terms of a Poincaré series.