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Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I

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Abstract

The first examples of totally geodesic Seifert surfaces are constructed for hyperbolic knots and links, including both free and totally knotted surfaces. Then it is proved that two bridge knot complements cannot contain totally geodesic orientable surfaces.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Williams College, Williamstown, MA, 01267, U.S.A

    Colin Adams

  2. Department of Mathematics, Stanford University, 450 Serra Mall, Building 380, Stanford, CA, 94305-2125, U.S.A

    Eric Schoenfeld

Authors
  1. Colin Adams
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  2. Eric Schoenfeld
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Correspondence to Colin Adams.

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Adams, C., Schoenfeld, E. Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I. Geom Dedicata 116, 237–247 (2005). https://doi.org/10.1007/s10711-005-9018-z

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  • DOI: https://doi.org/10.1007/s10711-005-9018-z

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