Equidistribution of Holonomy about Closed Geodesics
نویسندگان
چکیده
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Basic structure on symmetric spaces and Eisenstein series . . . . . . . . . . . . . . . . . 7 2. Harmonic analysis on groups and the Selberg trace formula . . . . . . . . . . . . . . . 11 3. Multiplicities of discrete series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 4. Estimate of unipotent contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 5. Values of infinitesimal characters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 6. Trace formulas attached to the representations of holonomy group . . . . . . . . . 35 7. The Chebotarev-type density theorem for the conjugacy of holonomy . . . . . . 44 Appendix: A Weyl estimate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
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تاریخ انتشار 1999