TY - ELEC
AU - Inahama, Yuzuru
PY - 2018
TI - Heat trace asymptotics for equiregular sub-Riemannian manifolds
LA - eng
M3 - Moving Image
AB - We study a "div-grad type" sub-Laplacian with respect to a smooth
measure and its associated heat semigroup on a compact equiregular sub-
Riemannian manifold. We prove a short time asymptotic expansion of the
heat trace up to any order. Our main result holds true for any smooth
measure on the manifold, but it has a spectral geometric meaning when
Popp's measure is considered. Our proof is probabilistic. In particular,
we use S. Watanabe's distributional Malliavin calculus.
N2 - We study a "div-grad type" sub-Laplacian with respect to a smooth
measure and its associated heat semigroup on a compact equiregular sub-
Riemannian manifold. We prove a short time asymptotic expansion of the
heat trace up to any order. Our main result holds true for any smooth
measure on the manifold, but it has a spectral geometric meaning when
Popp's measure is considered. Our proof is probabilistic. In particular,
we use S. Watanabe's distributional Malliavin calculus.
UR - https://open.library.ubc.ca/collections/48630/items/1.0377316
ER - End of Reference