Isometric deformations of the κ1/4-flow translators in R3 with helicoidal symmetry

被引：1

作者：

Lee, Hojoo ^{[1
]}

机构：

[1] Korea Inst Adv Study, Seoul 130722, South Korea

来源：

COMPTES RENDUS MATHEMATIQUE | 2013年 / 351卷 / 11-12期

基金：

新加坡国家研究基金会;

关键词：

CONVEX HYPERSURFACES; CURVATURE FLOW; SURFACES;

D O I：

10.1016/j.crma.2013.06.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The height functions of kappa(1/4)-flow translators in the Euclidean space R-3 solve the classical Monge-Ampere equation f(xx)f(yy) - f(xy)(2) = 1. We explicitly and geometrically determine the moduli space of all helicoidal kappa(1/4)-flow translators, which are generated from planar curves by the action of helicoidal groups. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：477 / 482

页数：6

共 24 条

[1] TRANSLATING SURFACES OF THE NONPARAMETRIC MEAN-CURVATURE FLOW WITH PRESCRIBED CONTACT-ANGLE [J].