Adiabatic Limits and Foliations

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dc.creatorLiu, Kefeng
dc.creatorZhang, Weiping
dc.date1999-12-29
dc.date.accessioned2026-07-07T05:32:32Z
dc.date.available2026-07-07T05:32:32Z
dc.descriptionWe use adiabatic limits to study foliated manifolds. The Bott connection naturally shows up as the adiabatic limit of Levi-Civita connections. As an application, we then construct certain natural elliptic operators associated to the foliation and present a direct geometric proof of a vanshing theorem of Connes[Co], which extends the Lichnerowicz vanishing theorem [L] to foliated manifolds with spin leaves, for what we call almost Riemannian foliations. Several new vanishing theorems are also proved by using our method.
dc.identifierhttps://arxiv.org/abs/math/9912223
dc.identifierhttp://arxiv.org/abs/math/9912223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79689
dc.subjectDifferential Geometry
dc.titleAdiabatic Limits and Foliations
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