| File | |
| Title |
Geometry of ruled real hypersurfaces in a nonflat complex space form
|
| Creator |
Maeda Sadahiro
|
| Source Title |
島根大学総合理工学研究科紀要. シリーズB
|
| Volume | 50 |
| Start Page | 1 |
| End Page | 10 |
| Journal Identifire |
ISSN 13427121
|
| Descriptions |
Abstract
This paper is the survey of the works with T. Adachi, H. Tanabe and M. Kimura. Ruled real hypersurfaces are typical examples of non-Hopf hypersurfaces in a nonflat complex space form. These examples are constructed by the same method in a complex projective space and a complex hyperbolic space. We shall explain geometric properties of ruled real hypersurfaces which depend on the sign of the sectional curvature of those ambient spaces.
|
| Subjects |
ruled real hypersurfaces
nonflat complex space forms
shape operator
η-parallel
holomorphic distributions
the homogeneous ruled real hypersurface
minimal ruled real hypersurfaces
geodesics
circles
sectional curvatures
characteristic vector fields
the vector U
integral curves
the first curvature
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学総合理工学研究科
|
| Date of Issued | 2017-03 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Relation |
[NCID]
AA12638295
|