The stability of foliations of orientable 3-manifolds covered by a product
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- by Sandra L. Shields PDF
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Abstract:
We examine the relationship between codimension one foliations that are covered by a trivial product of hyperplanes and the branched surfaces that can be constructed from them. We present a sufficient condition on a branched surface constructed from a foliation to guarantee that all $C^1$ perturbations of the foliation are covered by a trivial product of hyperplanes. We also show that a branched surface admits a strictly positive weight system if and only if it can be constructed from a fibration over $S^1$.References
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Additional Information
- Sandra L. Shields
- Affiliation: Department of Mathematics, College of Charleston, Charleston, South Carolina 29424
- Received by editor(s): February 5, 1993
- Received by editor(s) in revised form: October 9, 1995
- © Copyright 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 348 (1996), 4653-4671
- MSC (1991): Primary 57M12, 57M20, 57N10, 57R30, 58F10
- DOI: https://doi.org/10.1090/S0002-9947-96-01631-5
- MathSciNet review: 1355076