Differential geometry of grassmannians and the Plucker map

被引：5

作者：

Anan'in, Sasha ^{[1
]}

Grossi, Carlos H. ^{[2
]}

机构：

[1] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP, Brazil

[2] Univ Sao Paulo, ICMC, Dept Matemat, BR-13566590 Sao Carlos, SP, Brazil

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2012年 / 10卷 / 03期

关键词：

Classic geometries; Plucker map; Hyperbolic geometry;

D O I：

10.2478/s11533-012-0021-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometries. For 'hyperbolic' grassmannian geometries, we prove some facts (for instance, that the Plucker map is a minimal isometric embedding) that were previously known in the 'elliptic' case.

引用

页码：873 / 884

页数：12

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