Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry
type: Dataset
description: In this paper we study the small time asymptotics for the heat kernel on a sub-Riemannian manifold, using a perturbative approach. We then explicitly compute, in the case of a 3D contact structure, the first two coefficients of the small time asymptotics expansion of the heat kernel on the diagonal, expressing them in terms of the two basic functional invariants $\chi$ and $\kappa$ defined on a 3D contact structure.
landing page: https://hal.science/hal-00672262
keyword: infoeu-reposemanticspreprint
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: mathmath-dgmathematics-mathdifferential-geometry-mathdg
keyword: preprints-working-papers-
issued: 2026-05-27T20:15:37.323330
modified: 2026-05-27T20:15:37.323336
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry
type: Distribution
format: HTML
access URL: https://hal.science/hal-00672262
issued: 2026-05-27T20:15:37.372649
modified: 2026-05-27T20:15:37.311779