Equidistribution of holonomy restricted to a homology class about closed geodesics

Kazufumi Kimoto, Masato Wakayama

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The purpose of this paper is, for each homology class, to prove the equidistribution theorem of restricted holonomy classes about closed geodesics mainly for the real hyperbolic manifolds. More precisely, this work is a continuation of the study [SW] (Duke Math. J. 100 (1999), 1-57) but one restricts these holonomy classes to the ones arising from the subset of closed geodesics whose corresponding hyperbolic conjugacy classes belong to a given homology class of the manifold. As an application, we also discuss the equidistribution of (imaginary) quadratic forms with respect to the argument of fundamental units.

Original languageEnglish
Pages (from-to)383-403
Number of pages21
JournalForum Mathematicum
Volume14
Issue number3
DOIs
Publication statusPublished - Jan 1 2002

Fingerprint

Closed Geodesics
Equidistribution
Holonomy
Homology
Fundamental Units
Hyperbolic Manifold
Conjugacy class
Quadratic form
Continuation
Subset
Class
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Equidistribution of holonomy restricted to a homology class about closed geodesics. / Kimoto, Kazufumi; Wakayama, Masato.

In: Forum Mathematicum, Vol. 14, No. 3, 01.01.2002, p. 383-403.

Research output: Contribution to journalArticle

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