On Eta-functions for nilmanifolds

Werner Ballmann

doi:10.4310/jdg/1404912100

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Home > Journals > J. Differential Geom. > Volume 97 > Issue 1 > Article

May 2014 On Eta-functions for nilmanifolds

Werner Ballmann

J. Differential Geom. 97(1): 1-10 (May 2014). DOI: 10.4310/jdg/1404912100

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Abstract

Motivated by index formulas for Dirac-type operators over negatively curved Riemannian manifolds of finite volume, we study $\eta$-functions of certain differential operators on nilmanifolds.