Communications in Analysis and Geometry
Volume 30 (2022)
Li–Yau inequality on virtually Abelian groups
Pages: 1833 – 1848
We show that Cayley graphs of virtually Abelian groups satisfy a Li–Yau type gradient estimate despite the fact that they do not satisfy any known variant of the curvature-dimension inequality with non-negative curvature.
Received 3 July 2017
Accepted 7 April 2020
Published 13 July 2023