A Family of Adapted Complexifications for Sl 2 ( R )
نویسندگان
چکیده
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 non-univalent, non-Stein, maximal adapted complexifications.
منابع مشابه
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تاریخ انتشار 2009