Extremal length and Dirichlet problem on Klein surfaces | Zendy

Monica Roşiu | Zendy

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Extremal length and Dirichlet problem on Klein surfaces

Author(s) -

Monica Roşiu

Publication year - 2018

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2019.39.2.281

Subject(s) - mathematics , extremal length , invariant (physics) , dirichlet distribution , conjugate points , combinatorics , mathematical analysis , mathematical physics , boundary value problem , conformal map , conformal symmetry

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.

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