OAI/Geometry/RCD/Heat/CanonicalHeatTimeRatio.lean

GitHub source file

1 declarations, 0 contain sorry, 0 declared as axioms

A uniform short-time ratio for the actual heat kernel

The Gaussian upper/lower estimates and one local doubling comparison control the earlier kernel everywhere by the later kernel at a fixed point.

  1. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.canonicalHeatKernel_time_ratio line 21