Geometry of ruled real hypersurfaces in a nonflat complex space form

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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
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