Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 50, No. 2, pp. 309-325 (2009)

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Special directions in complex contact manifolds

David E. Blair and Belgin Korkmaz

Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, USA, e-mail: blair@math.msu.ed; Mathematics Department, Middle East Technical University, Ankara 06531, Turkey, e-mail: bkorkmaz@metu.edu.tr

Abstract: Ideas of holomorphic and real special directions on complex contact manifolds are developed. It is shown that such directions exist under certain curvature conditions. The special case of the Lie group $SL(2,\mathbb {C})$ is studied in detail.

Keywords: complex contact manifold, holomorphic Anosov flow, special directions, $SL(2,\mathbb {C})$

Classification (MSC2000): 53D10

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Electronic version published on: 28 Aug 2009. This page was last modified: 28 Jan 2013.

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