| 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 |
