Byung Hak Kim

A characterization of a certain real hypersurface of type (A 2 ) in a complex projective space

AbstractIn the class of real hypersurfaces M2n−1 isometrically immersed into a nonflat complex space form

Real and Complex Submanifolds : Daejeon, Korea, August 2014

\widetilde {{M_n}}\left( c \right)

ISOPERIMETRIC INEQUALITY IN α-PLANE

Mn˜(c) of constant holomorphic sectional curvature c (≠ 0) which is either a complex projective space ℂPn(c) or a complex hyperbolic space ℂHn(c) according as c > 0 or c < 0, there are two typical examples. One is the class of all real hypersurfaces of type (A) and the other is the class of all ruled real hypersurfaces. Note that the former example are Hopf manifolds and the latter are non-Hopf manifolds. In this paper, inspired by a simple characterization of all ruled real hypersurfaces in

Hermitian–Grassmannian Submanifolds

\widetilde {{M_n}}\left( c \right)

A study on quadratic curves and generalized eccentricity in polar taxicab geometry

Mn˜(c) , we consider a certain real hypersurface of type (A2) in ℂPn(c) and give a geometric characterization of this Hopf manifold.

ON POLAR TAXICAB GEOMETRY IN A PLANE

Nagano proved that if the non-homothetic conformal transformation between complete Riemannian manifolds with parallel Ricci tensor is admitted, then the manifolds are irreducible and isometric to a sphere. From this result and other reasons, it is natural to ask for the problem that does there exist globally a non-homothetic conformal transformation between complete product Riemannian manifolds? In this talk, we introduce and consider about this question and related topics.