The Riemannian adiabatic limit

  • Jean-Michel Bismut
Part of the Progress in Mathematics book series (PM, volume 305)


The purpose of this chapter is to study the adiabatic limit of the Levi-Civita connection on a fibred manifold. This study was initiated in [B86a], and continued in Bismut-Cheeger [BC89], Berline-Getzler-Vergne [BeGeV92], Berthomieu-Bismut [BerB94] and Bismut [B97].


Vector Bundle Tangent Bundle Smooth Section Riemannian Submersion Adiabatic Limit 
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Copyright information

© Springer Basel 2013

Authors and Affiliations

  • Jean-Michel Bismut
    • 1
  1. 1.Département de MathématiqueUniversité Paris-SudOrsayFrance

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