Estimates for the covariant derivative of the heat semigroup on differential forms, and covariant Riesz transforms

Robert Baumgarth, Baptiste Devyver, Batu Güneysu

With ${\vec{\Delta }}_j\ge 0$ is the uniquely determined self-adjoint realization of the Laplace operator acting on $j$-forms on a geodesically complete Riemannian manifold $M$ and $\nabla$…