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

Fabrice Baudoin; Michel Bonnefont

doi:10.1007/s00209-008-0436-0

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

^*Corresponding author for this work

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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.

Original language	English
Journal	Mathematische Zeitschrift
Volume	263
Issue	3
Pages (from-to)	647-672
Number of pages	26
ISSN	0025-5874
DOIs	https://doi.org/10.1007/s00209-008-0436-0
Publication status	Published - Sept 2009
Externally published	Yes

Keywords

Gradient estimate
Heat kernel
Log-Sobolev inequality
Poincaré inequality
SU(2)
Sublaplacian

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10.1007/s00209-008-0436-0

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title = "The subelliptic heat kernel on SU(2): Representations, asymptotics and gradient bounds",

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.",

keywords = "Gradient estimate, Heat kernel, Log-Sobolev inequality, Poincar{\'e} inequality, SU(2), Sublaplacian",

author = "Fabrice Baudoin and Michel Bonnefont",

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T1 - The subelliptic heat kernel on SU(2)

T2 - Representations, asymptotics and gradient bounds

AU - Baudoin, Fabrice

AU - Bonnefont, Michel

PY - 2009/9

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N2 - 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.

AB - 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.

KW - Gradient estimate

KW - Heat kernel

KW - Log-Sobolev inequality

KW - Poincaré inequality

KW - SU(2)

KW - Sublaplacian

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U2 - 10.1007/s00209-008-0436-0

DO - 10.1007/s00209-008-0436-0

M3 - Journal article

AN - SCOPUS:70350176705

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VL - 263

SP - 647

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JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3

ER -

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

Abstract

Keywords

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