On Fubinian and $C$-Fubinian manifolds

Abstract

present hypersurface satisfying the a C-umbilical hypersurface. A manifold having the same Sasakian structure as a C-umbilical hypersurface in a locally Fubinian manifold will be said to be locally C-Fubinian. The purpose of the present paper is to show some character-istic properties of Fubinian and C-Fubinian manifolds.