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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

international journal of mathematics and mathematical sciences

New representation of the non-symmetric homogeneous bounded domains in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\mathbb{C}^4 $"><mml:mrow><mml:msup><mml:mi>ℂ</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\mathbb{C}^5 $"><mml:mrow><mml:msup><mml:mi>ℂ</mml:mi><mml:mn>5</mml:mn></mml:msup></mml:mrow></mml:math>

New representation of the non-symmetric homogeneous bounded domains inℂ4andℂ5