Length multiplicities of hyperbolic 3-manifolds
Copyright policy )Length multiplicities of hyperbolic 3-manifolds
Let $M = H^3/��$ be a hyperbolic 3-manifold, where $��$ is a non-elementary Kleinian group. It is shown that the length spectrum of $M$ is of unbounded multiplicity.
20 pages, no figures. Proof of Lemma 6.3 has been simplified and generalized. More details added to proof of Lemma 2.1. To appear in Israel Journal of Mathematics
- The University of Texas at Austin United States
Topology of general \(3\)-manifolds, 22E40(secondary), Geometric Topology (math.GT), Geodesics in global differential geometry, trace class, Mathematics - Geometric Topology, length spectrum, stable multiplicity, 57M50(primary), 57M50(primary); 22E40(secondary), General geometric structures on low-dimensional manifolds, FOS: Mathematics, hyperbolic 3-manifold
Topology of general \(3\)-manifolds, 22E40(secondary), Geometric Topology (math.GT), Geodesics in global differential geometry, trace class, Mathematics - Geometric Topology, length spectrum, stable multiplicity, 57M50(primary), 57M50(primary); 22E40(secondary), General geometric structures on low-dimensional manifolds, FOS: Mathematics, hyperbolic 3-manifold
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!