THE NORMALITY OF THE FAMILY OF HOLOMORPHIC MAPPINGS INTO THE COMPLEMENT OF A NEIGHBORHOOD OF A HYPERSURFACE IN THE COMPLEX PROJECTIVE SPACE

DOI: 10.18173/2354-1059.2025-0003

Abstract

In 1907, Paul Montel raised the concept of normal family of meromorphic functions. The high-dimensional version of Montel theorem was first studied by Tu Zhenhan in 1999. In this paper, we examine the normality of the family of holomorphic mappings from a domain D in Cm into the complement of the -neighborhood of a hypersurface in the complex projective space P n(C) (with the Fubini-Study distance dFS):