The hypoelliptic superconnection forms when \({\bar\partial}^{M} {\partial^{M}} \omega^{M} = 0\)

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


The purpose of this chapter is to study the hypoelliptic superconnection forms of  Chapter 7 in the case where \({\bar\partial}^{M} {\partial^{M}} \omega^{M} = 0\). In particular, we show that, as in the elliptic case, the form \(\alpha_{g,b,0}\) can be explicitly computed.


Vector Bundle Parallel Transport Connection Form Contraction Operator Smooth Section 
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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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