A Family of Adapted Complexifications for Noncompact Semisimple Lie Groups
نویسندگان
چکیده
The maximal complexifications adapted to the Levi Civita connection for a distinguished one-parameter family of left-invariant metrics on a real, non-compact, semisimple Lie group G are determined. For G = SL2(R) their realization as invariant Riemann domains over G = SL2(C) is carried out and their complex-geometric properties are investigated. One obtains new non-univalent, non-Stein examples.
منابع مشابه
A Family of Adapted Complexifications for Sl 2 ( R )
Let G be a non-compact, real semisimple Lie group. We consider maximal complexifications of G which are adapted to a distinguished one-parameter family of naturally reductive, left-invariant metrics. In the case of G = SL 2 (R) their realization as equivariant Riemann domains over G C = SL 2 (C) is carried out and their complex-geometric properties are investigated. One obtains new examples of ...
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