A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form

Takehiro Itoh, and Sadahiro Maeda. "A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form." Bulletin of the Polish Academy of Sciences. Mathematics 54.2 (2006): 125-136. <http://eudml.org/doc/280797>.

@article{TakehiroItoh2006,
abstract = {We characterize totally η-umbilic real hypersurfaces in a nonflat complex space form M̃ₙ(c) (= ℂPⁿ(c) or ℂHⁿ(c)) and a real hypersurface of type (A₂) of radius π/(2√c) in ℂPⁿ(c) by observing the shape of some geodesics on those real hypersurfaces as curves in the ambient manifolds (Theorems 1 and 2).},
author = {Takehiro Itoh, Sadahiro Maeda},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {geodesics; plane curves of positive curvature; Frenet curves of proper order 2; totally -umbilic real hypersurfaces; real hypersurfaces of type ; nonflat complex space forms; ruled real hypersurfaces},
language = {eng},
number = {2},
pages = {125-136},
title = {A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form},
url = {http://eudml.org/doc/280797},
volume = {54},
year = {2006},
}

TY - JOUR
AU - Takehiro Itoh
AU - Sadahiro Maeda
TI - A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 2
SP - 125
EP - 136
AB - We characterize totally η-umbilic real hypersurfaces in a nonflat complex space form M̃ₙ(c) (= ℂPⁿ(c) or ℂHⁿ(c)) and a real hypersurface of type (A₂) of radius π/(2√c) in ℂPⁿ(c) by observing the shape of some geodesics on those real hypersurfaces as curves in the ambient manifolds (Theorems 1 and 2).
LA - eng
KW - geodesics; plane curves of positive curvature; Frenet curves of proper order 2; totally -umbilic real hypersurfaces; real hypersurfaces of type ; nonflat complex space forms; ruled real hypersurfaces
UR - http://eudml.org/doc/280797
ER -