| File | |
| Title |
Submanifold theory from the viewpoint of circles
|
| Creator | |
| Source 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 |
| Journal Identifire |
ISSN 13427121
|
| Descriptions |
Abstract
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. |
| Subjects |
totally umbilic submanifolds
circles
constant isotropic immersions
Kahler submanifolds
Veronese embeddings
Frenet curves of proper order 2
Kahler Frenet curves
|
| Language |
jpn
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学総合理工学部
|
| Date of Issued | 2007-03 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Relation |
[NCID]
AA11157123
|
