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.
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页码：873 / 884
页数：12
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