Kavli Affiliate: Jing Wang
| First 5 Authors: Maria Gordina, Jing Wang, , ,
| Summary:
We study heat kernel rigidity for the Lie group $operatorname{SU}left( 2
right)$ kernel equipped with a sub-Riemannian structure. We prove that a
metric measure space equipped with a heat kernel of a special form is
bundle-isometric to the Hopf fibration $operatorname{U}left( 1 right)to
operatorname{SU}left( 2 right)to mathbb{CP}^1$, which coincides with the
sub-Riemannian sphere $operatorname{SU}left( 2 right)$.
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