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ID 50
Author
Ishihara, Toru Department of Mathematics Faculty of Education Tokushima University Tokushima University Educator and Researcher Directory KAKEN Search Researchers
Content Type
Departmental Bulletin Paper
Description
The fundamental properties of frame bundles of a Submanifold of a Riemannian manifold are described by S. Kobayashi and K. Nomizu in [2]. Using the similar method, we will study frame bundles of a Submanifold of a Submanifold of a Riemannian manifold. The main purpose of this paper is to associate the Gauss (generalized) map to a submanifold of a Submanifold of Euclidean space. M. Obata [3] associates the Gauss map to a submanifold of a simply-connected complete N-space of constant curvature. We will study the relationship between the Gauss map in the sense of Obata and that of our sense in the forthcoming paper.
Journal Title
Journal of mathematics, Tokushima University
ISSN
00754293
NCID
AA00701816
Volume
14
Start Page
1
End Page
9
Sort Key
1
Published Date
1980-11-29
Remark
公開日:2010年1月24日で登録したコンテンツは、国立情報学研究所において電子化したものです。
FullText File
language
eng
departments
Science and Technology