TOTALLY η-UMBILIC HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM AND THEIR ALMOST CONTACT METRIC STRUCTURES

BYUNG HAK KIM; SADAHIRO MAEDA

doi:10.32219/isms.72.3_289

著者情報

キーワード: real hypersurfaces, nonflat complex space forms, totally η-umbilc hypersurfaces, geodesics, circles, contact manifolds, Sasakian manifolds, Sasakian space forms, K-contact manifolds, nearly Sasakian manifolds

ジャーナルフリー

2010 年 72 巻 3 号 p. 289-296

DOI https://doi.org/10.32219/isms.72.3_289

詳細

抄録

We bridge between submanifold theory and contact geometry. We give a geometric meaning of some fundamental notions such as Sasakian, nearly Sasakian, Kcontact from the viewpoint of the result in [3] (Theorem 1). Moreover, motivated by the notion of totally η-umbilic hypersurfaces in a nonflat complex space form, we give a new notion in contact geometry (Theorem 2).

責任著者(Corresponding author)

J-STAGEへの登録はこちら（無料）