27 citations · 166 across the 27 of their papers we have counts for
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math.DG2008★ 11 cited
A brief note on the spectrum of the basic Dirac operator
Georges Habib, Ken Richardson
In this paper, we prove the invariance of the spectrum of the basic Dirac operator defined on a Riemannian foliation with respect to a change of bundle-like metri…
math.DG2008★ 4 cited
Transverse conformal Killing forms and a Gallot-Meyer Theorem for foliations
Seoung Dal Jung, Ken Richardson
We study transverse conformal Killing forms on foliations and prove a Gallot-Meyer theorem for foliations. Moreover, we show that on a foliation with -positive normal curvature,…
math.DG2008★ 10 cited
Natural Equivariant Dirac Operators
Igor Prokhorenkov, Ken Richardson
We introduce a new class of natural, explicitly defined, transversally elliptic differential operators over manifolds with compact group actions. Under certain assumptions, the sym…