On quasiconformal harmonic mappings lifting to minimal surfaces | Zendy

Hakan Mete Taştan | Zendy; Yaşar Polatog̃lu | Zendy

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On quasiconformal harmonic mappings lifting to minimal surfaces

Author(s) -

Hakan Mete Taştan,

Yaşar Polatog̃lu

Publication year - 2013

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1106-36

Subject(s) - mathematics , minimal surface , gaussian curvature , harmonic function , pure mathematics , euclidean space , minkowski space , mathematical analysis , lorentz space , space (punctuation) , euclidean geometry , lorentz transformation , type (biology) , curvature , geometry , ecology , linguistics , philosophy , physics , classical mechanics , biology

We prove a growth theorem for a function to belong to the class \sum(m;a) and generalize a Weierstrass-Enneper representation type theorem for the minimal surfaces given in [5] to spacelike minimal surfaces which lie in 3-dimensional Lorentz-Minkowski space L3. We also obtain some estimates of the Gaussian curvature of the minimal surfaces in 3-dimensional Euclidean space R3 and of the spacelike minimal surfaces in L3.

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