CLASSIFICATION OF MULTIDIMENSIONAL SUBMANIFOLDS IN EUCLIDEAN-SPACE WITH A TOTALLY GEODESIC GAUSS IMAGE

被引：1
作者：
NIKOLAEVSKII, YA
机构：
来源：
RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS | 1993年 / 76卷 / 01期
关键词：
D O I：
10.1070/SM1993v076n01ABEH003410
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A complete classification is given of submanifolds that have a totally geodesic Gauss image in the ambient Grassmann manifold. The arguments are based on a study of the tangent space to the Gauss image of the submanifold and Cartan's theorem on totally geodesic submanifolds of symmetric spaces. Bibliography: 16 titles.
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页码：225 / 246
页数：22
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