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

Tsagas, Gr.; Dimou, G.

doi:https://doi.org/10.1155/S0161171292000966

International Journal of Mathematics and Mathematical Sciences

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Volume 15 | Article ID 592941 | https://doi.org/10.1155/S0161171292000966

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

Gr. Tsagas¹and G. Dimou¹

Received14 Dec 1989

Revised01 Mar 1990

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.

Copyright

Copyright © 1992 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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