Harmonic Morphisms from the Classical Compact Semisimple Lie Groups (version 1.050)
نویسنده
چکیده
In this paper we introduce a new method for manufacturing complex valued harmonic morphisms from semi-Riemannian manifolds. This is employed to yield a variety of new examples from the compact Riemannian Lie groups SO(n), SU(n), Sp(n). We then develop a duality principle and show how this can be used to construct the first known examples of harmonic mor-phisms from the non-compact semi-Riemannian Lie groups
منابع مشابه
Harmonic Morphisms, Hermitian Structures and Symmetric Spaces
[A] M. Svensson, On holomorphic harmonic morphisms, Manuscripta Math. 107 (2002), 1–13. [B] M. Svensson, Harmonic morphisms from even-dimensional hyperbolic spaces, Math. Scand. 92 (2003), 246–260. [C] M. Svensson, Holomorphic foliations, harmonic morphisms and the Walczak formula, J. London Math. Soc. 68 (2003), 781–794. [D] M. Svensson, Harmonic morphisms in Hermitian geometry, J. Reine Angew...
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تاریخ انتشار 2007