Opuscula Math. 39, no. 2 (2019), 281-296
https://doi.org/10.7494/OpMath.2019.39.2.281
Opuscula Mathematica
Extremal length and Dirichlet problem on Klein surfaces
Abstract. The object of this paper is to extend the method of extremal length to Klein surfaces by solving conformally invariant extremal problems on the complex double. Within this method we define the extremal length, the extremal distance, the conjugate extremal distance, the modulus, the reduced extremal distance on a Klein surface and we study their dependences on arcs.
Keywords: Klein surface, extremal length, extremal distance.
Mathematics Subject Classification: 30F50, 35J05, 31A15.
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- Monica Roşiu
https://orcid.org/0000-0003-1109-2687- University of Craiova, Department of Mathematics, Street A.I. Cuza No 13, Craiova 200585, Romania
- Communicated by Marius Ghergu.
- Received: 2018-10-16.
- Accepted: 2018-11-03.
- Published online: 2018-12-07.
