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New representation of the non-symmetric homogeneous bounded domains in \(\mathbb{C}^ 4\) and \(\mathbb{C}^ 5\) - MaRDI portal

New representation of the non-symmetric homogeneous bounded domains in \(\mathbb{C}^ 4\) and \(\mathbb{C}^ 5\) (Q1205615)

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scientific article; zbMATH DE number 147581
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English
New representation of the non-symmetric homogeneous bounded domains in \(\mathbb{C}^ 4\) and \(\mathbb{C}^ 5\)
scientific article; zbMATH DE number 147581

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    New representation of the non-symmetric homogeneous bounded domains in \(\mathbb{C}^ 4\) and \(\mathbb{C}^ 5\) (English)
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    1 April 1993
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    Summary: This paper deals with the corresponding solvable Lie algebra to each of non-symmetric homogeneous bounded domains in \(\mathbb{C}^ 4\) and \(\mathbb{C}^ 5\) by special sets of matrices. Some interesting properties of Kähler manifolds are found. The theory of \(s\)-structure on a complete Riemann manifold is also studied.
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    \(J\)-algebra
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    solvable Lie algebra
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    non-symmetric homogeneous bounded domains
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    Kähler manifolds
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