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A family of adapted complexifications for noncompact semisimple Lie groups

S. Halverscheid·A. Iannuzzi
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Abstract

The maximal complexifications adapted to the Levi Civita connection for a distinguished one-parameter family of left-invariant metrics on a real semisimple Lie group G are determined. For G = SL(2,R) their realizations as invariant Riemann domains into SL(2,C) are carried out and their complex-geometric properties are investigated.

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S. Halverscheid, A. Iannuzzi. 2009-05-04. A family of adapted complexifications for noncompact semisimple Lie groups. https://arxiv.org/abs/math/0503377

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