Research profile

Sebastian Boldt

Works on eigenvalues & spectrum, boundaries & non-compact and stability & uniqueness.

NP-RC-733698

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Eigenvalues & spectrumBoundaries & non-compactStability & uniquenessRicci flow

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  1. Batu Güneysu

    1 joint worklatest 2020

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2020

math.DGarXiv:2003.10204

Scattering Theory and Spectral Stability under a Ricci Flow for Dirac Operators

Sebastian Boldt, Batu Güneysu

Given a noncompact spin manifold with a fixed topological spin structure and two complete Riemannian metrics and on with bounded sectional curvatures, we prove a criterion for the existence and completeness of the wave operators and , where is the canonically given unitary map between the underlying -spaces of spinors. This criterion does not involve any injectivity radius assumptions and leads to a criterion for the stability of the absolutely continuous spectrum of a Dirac operator and its square under a Ricci flow.

Ricci flowStability & uniquenessBoundaries & non-compactEigenvalues & spectrum
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NP-RC-733698 is Sebastian Boldt's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.