Robert Baumgarth

activity

20202024

collaborators

3 papers

math.PR2024

Moment estimates, exponential integrability, concentration inequalities and exit times estimates on evolving manifolds

Robert Baumgarth

On a smooth (not necessarily compact) manifold $M$ equipped with a $C^{1}$ -family of complete Riemannian metrics $g (t)$ and a $C^{1, \infty}$ -family of vector fields $Z (t)$ bo…

math.AP2021

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

Robert Baumgarth, Baptiste Devyver, Batu Güneysu

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

math.DG2020

Scattering theory for the Hodge Laplacian

Robert Baumgarth

We prove using an integral criterion the existence and completeness of the wave operators $W_{\pm} (Δ_{h}^{(k)}, Δ_{g}^{(k)}, I_{g, h}^{(k)})$ corresponding to the Hodge Laplacians $Δ_ν^…