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IMMERSED AND VIRTUALLY EMBEDDED BOUNDARY SLOPES IN ARITHMETIC MANIFOLDS

ANNEKE BART

Department of Mathematics and Mathematical Computer Science, Saint Louis University, 221 N. Grand Blvd., St. Louis, MO, 63103, USA

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https://doi.org/10.1142/S0218216504003329Cited by:0 (Source: Crossref)

Abstract

Given a Bianchi Group , and a Hyperbolic manifold M, where π₁(M) is of finite index in Γ_d, we show that all boundary slopes are realized as the boundary slope of an immersed totally geodesic surface and hence are virtually embedded boundary slopes.

Keywords:

AMSC: Primary 57N35, Secondary 57M25

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