(Semi-)Riemannian geometry of (para-)octonionic projective planes

被引：3
|
作者：
Held, Rowena [1 ]
Stavrov, Iva [1 ]
VanKoten, Brian [2 ]
机构：
[1] Lewis & Clark Coll, Dept Math Sci, Portland, OR 97219 USA
[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2009年 / 27卷 / 04期
关键词：
Reduced homogeneous coordinates; Octonionic projective plane; Para-octonionic projective plane; Curvature tensor;
D O I：
10.1016/j.difgeo.2009.01.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use reduced homogeneous coordinates to construct and study the (semi-)Riemannian geometry of the octonionic (or Cayley) projective plane OP2, the octonionic projective plane of indefinite signature OP(1,1), the para-octonionic (or split octonionic) projective plane O'P-2 and the hyperbolic dual of the octonionic projective plane OH2. We also show that our manifolds are isometric to the (para-)octonionic projective planes defined classically by quotients of Lie groups. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：464 / 481
页数：18
相关论文
共 50 条
12345