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A Weierstrass Representation Formula for Minimal Surfaces in ℍ3and ℍ2× ℝ

✍ Scribed by Francesco Mercuri; Stefano Montaldo; Paola Piu

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
186 KB
Volume
22
Category
Article
ISSN
1439-7617

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A Schwarz-type formula for minimal surfa
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✍ Luis J Alı́as; Pablo Mira 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 75 KB

This paper introduces a complex representation for minimal surfaces in R n , based on the Schwarz formula which solves the classical Björling problem for minimal surfaces in R 3 . As an application, it is shown that a k-dimensional plane of R n is a plane of symmetry of a minimal surface in R n prov