Foliated control theory I |
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Authors: | F T Farrell and L E Jones |
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Institution: | (1) Department of Mathematics, Columbia University, 10027 New York, NY, USA;(2) Department of Mathematics, State University of New York at Stony Brook, 11794 Stony Brook, NY, USA |
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Abstract: | The main result is a control theorem for the space of stable pseudo-isotopies on E with control near the leaves of in M, where : E M is a fiber bundle over a Riemannian manifold M having a compact manifold for fiber and is a smooth foliation of M such that each leaf inherits a flat Riemannian geometry from M. A similar result has been proved by Farrell and Jones under the assumption that each leaf of inherits a geometry with strictly negative curvature from M.Both authors were supported in part by the National Science Foundation. |
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Keywords: | Pseudo-isotopy control theory foliation flat geometry piecewise linear triangulations |
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