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

TY - JOUR

T1 - The subelliptic heat kernel on SU(2)

T2 - Representations, asymptotics and gradient bounds

AU - Baudoin, Fabrice

AU - Bonnefont, Michel

PY - 2009/9

Y1 - 2009/9

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

UR - http://www.scopus.com/inward/record.url?scp=70350176705&partnerID=8YFLogxK

U2 - 10.1007/s00209-008-0436-0

DO - 10.1007/s00209-008-0436-0

M3 - Journal article

AN - SCOPUS:70350176705

SN - 0025-5874

VL - 263

SP - 647

EP - 672

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3

ER -