number of downloads : ?
File
language
jpn
Author
Maeda, Sadahiro
Description
We study submanifolds by using the notion of circles in Riemannian
geometry. This expository paper consists of two parts. One is to improve Nomizu and Yano’s result ([11]) which characterizes extrinsic spheres in a Riemannian manifold. The other is to characterize totally geodesic immersions and some parallel immersions in terms of Frenet curves of proper order 2 (which are generalizations of circles) on submanifolds.
Subject
totally umbilic submanifolds
circles
constant isotropic immersions
Kahler submanifolds
Veronese embeddings
Frenet curves of proper order 2
Kahler Frenet curves
Journal Title
島根大学総合理工学部紀要. シリーズB
Volume
40
Start Page
15
End Page
32
ISSN
13427121
Published Date
2007-03
NCID
AA11157123
Publisher
島根大学総合理工学部
NII Type
Departmental Bulletin Paper
Format
PDF
Text Version
出版社版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering
他の一覧
このエントリーをはてなブックマークに追加