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The subelliptic heat kernel on SU(2): representations, asymptotics and gradient bounds

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Abstract

The Lie group SU(2) endowed with its canonical subriemannian structure appears as a three-dimensional model of a positively curved subelliptic space. The goal of this work is to study the subelliptic heat kernel on it and some related functional inequalities.

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Authors and Affiliations

  1. Department of Mathematics, Purdue University, West Lafayette, IN, USA

    Fabrice Baudoin

  2. Institut de Mathématiques de Toulouse, Université de Toulouse, Toulouse, France

    Michel Bonnefont

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  1. Fabrice Baudoin
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  2. Michel Bonnefont
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Correspondence to Fabrice Baudoin.

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Baudoin, F., Bonnefont, M. The subelliptic heat kernel on SU(2): representations, asymptotics and gradient bounds. Math. Z. 263, 647–672 (2009). https://doi.org/10.1007/s00209-008-0436-0

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