Laguerre minimal surfaces in ℝ3

Autor:	Yu Ping Song, Chang Ping Wang
Rok vydání:	2008
Předmět:	Surface (mathematics) Minimal surface Mean curvature Laguerre's method Euclidean space Applied Mathematics General Mathematics Mathematical analysis Mathematics::Classical Analysis and ODEs Physics::Optics Curvature Particle in a spherically symmetric potential Laguerre polynomials Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 24:1861-1870
ISSN:	1439-7617 1439-8516
Popis:	Laguerre geometry of surfaces in ℝ3 is given in the book of Blaschke, and has been studied by Musso and Nicolodi, Palmer, Li and Wang and other authors. In this paper we study Laguerre minimal surface in 3-dimensional Euclidean space ℝ3. We show that any Laguerre minimal surface in ℝ3 can be constructed by using at most two holomorphic functions. We show also that any Laguerre minimal surface in ℝ3 with constant Laguerre curvature is Laguerre equivalent to a surface with vanishing mean curvature in the 3-dimensional degenerate space ℝ03.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d9baae307d14340a54d849bb222ccc7e https://doi.org/10.1007/s10114-008-7117-0 Zobrazit plný text záznamu Full text from SpringerLink