Relative mean curvature configurations for surfaces in ℝ<Superscript><Emphasis Type="Italic">n</Emphasis></Superscript>, <Emphasis Type="Italic">n</Emphasis> ≥ 5期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Relative mean curvature configurations for surfaces in ℝn, n ≥ 5

Authors:	R.?Antonio Gon?alves J.?A.?Martínez Alfaro? A.?Montesinos-Amilibia? M.?C.?Romero-Fuster?

Affiliation:	(1) Departaments de Geometria i Topologia i Matemática Aplicada, Universitat de València, 46100 Burjassot, València, ESPANYA

Abstract:	We define the relative mean curvature directions on surfaces immersed in ℝⁿ, n ≥ 4, generalizing the concept of mean curvature directions for surfaces in 4-space studied by Mello. We obtain their differential equations and study their corresponding generic configurations. *Work partially supported by DGCYT grant no. MTM2004-03244 and Unimontes-BR. †Work partially supported by DGCYT grant no. MTM2004-03244. ‡Work partially supported by DGCYT grant no. BFM2003-0203.

Keywords:	immersed surfaces curvature ellipse mean curvature mean curvature configurations semiumbilics pseudo-umbilics
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