New representation of the non-symmetric homogeneous bounded domains in ℂ4 and ℂ5

Abstract

This paper deals with the corresponding solvable Lie algebra to each of non-symmetric homogeneous bounded domains in ℂ4 and ℂ5 by special set of matrices. Some interesting properties of Kähler manifolds are found. The theory of s-structure on a complete Riemann manifold is also studied.

Keywords

• J-algebra
• non-symmetric homogeneous bounded domains
• homomorphism and Kähler manifolds.