Laguerre minimal surfaces via congruence of lines.

Autor: Prado, Rafaela F. do, Roitman, Pedro
Předmět:
Zdroj: Bulletin of the London Mathematical Society; Aug2012, Vol. 44 Issue 4, p803-813, 11p
Abstrakt: We show how to obtain a local representation for Laguerre minimal surfaces based on vector fields in the unit two sphere that are defined in terms of a harmonic map in the complex plane. We give a geometric characterization of the Laguerre minimal surfaces constructed in the special cases where the harmonic map is either holomorphic or anti-holomorphic. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index