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

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

Abstract

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.

Keywords

Vector Bundle Parallel Transport Connection Form Contraction Operator Smooth Section 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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