Abstract
We study a class of solvable Kähler algebras, those such that the associated simply connected Lie group has no flat de Rham factor and has nonpositive, either sectional curvature or holomorphic sectional curvature. We prove that the study of this class reduces to that of the class of normal j -algebras of nonpositive curvature. As an application we give a full description of the six dimensional simply connected, homogeneous Kähler manifolds in the above class.
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Druetta, M.J. On a Class of Solvable Kähler Algebras of Nonpositive Curvature. Geometriae Dedicata 65, 63–87 (1997). https://doi.org/10.1023/A:1004964418037
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DOI: https://doi.org/10.1023/A:1004964418037