A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space

被引：45

作者：

Chen, Liang ^{[1
]}

Izumiya, Shyuichi ^{[2
]}

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2009年 / 85卷 / 04期

关键词：

Legendrian dualities; semi-Euclidean space; pseudo-spheres; LINEAR WEINGARTEN SURFACES; HYPERBOLIC SPACE; SINGULARITIES;

D O I：

10.3792/pjaa.85.49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show six Legendrian dualities between pseudo-spheres in semi-Euclidean space which are basic tools for the study of extrinsic differential geometry of submanifolds in these pseudo-spheres.

引用

页码：49 / 54

页数：6

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