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![]() Contributions to Algebra and Geometry Vol. 50, No. 2, pp. 309-325 (2009) |
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Special directions in complex contact manifoldsDavid E. Blair and Belgin KorkmazDepartment 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.trAbstract: 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 Full text of the article (for subscribers):
Electronic version published on: 28 Aug 2009. This page was last modified: 11 Sep 2009.
© 2009 Heldermann Verlag
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