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On the non-regularity of tangent sphere bundles

Published online by Cambridge University Press:  14 November 2011

David E. Blair
David E. Blair
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan, U.S.A..
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Synopsis

Classically the tangent sphere bundles have formed a large class of contact manifolds; their contact structures are not in general regular, however. Specifically we prove that the natural contact structure on the tangent sphere bundle of a compact Riemannian manifold of non-positive constant curvature is not regular.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 82 , Issue 1-2 , 1978 , pp. 13 - 17
Copyright
Copyright © Royal Society of Edinburgh 1978

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