Classification of Totally Geodesic Surfaces in the Manifold of Directions in Physical Space

被引：0
|
作者：
D. V. Ivanov
S. E. Kozlov
机构：
[1] St.Petersburg State University,
来源：
Journal of Mathematical Sciences | 2004年 / 119卷 / 2期
关键词：
Manifold; Physical Space; Geodesic Submanifolds; Affine Geometry; Geodesic Surface;
D O I：
10.1023/B:JOTH.0000008760.05934.65
中图分类号：
学科分类号：
摘要：
The Grassmannian of bivectors over the pseudo-Euclidean Minkowski 4-space is considered and its two-dimensional totally geodesic submanifolds are classified. The family of such surfaces is described in the language of the affine geometry of three-space. Bibliography: 5 titles.
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页码：215 / 220
页数：5
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