TY - JOUR
T1 - Equidistribution of holonomy restricted to a homology class about closed geodesics
AU - Kimoto, Kazufumi
AU - Wakayama, Masato
N1 - Funding Information:
y Research Fellow of the Japan Society for the Promotion of Science, partially supported by Grant-in-Aid for Scientific Research (C) No. 12000766. z Partially supported by Grant-in-Aid for Scientific Research (B) No. 11440010.
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0036262894&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036262894&partnerID=8YFLogxK
U2 - 10.1515/form.2002.017
DO - 10.1515/form.2002.017
M3 - Article
AN - SCOPUS:0036262894
VL - 14
SP - 383
EP - 403
JO - Forum Mathematicum
JF - Forum Mathematicum
SN - 0933-7741
IS - 3
ER -