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Lower bounds on the normal injectivity radius of hypersurfaces and bounded geometries on manifolds with boundary
Sebastian Boldt, Batu Güneysu, Stefano Pigola
We prove for the first time a pointwise lower estimate of the normal injectivity radius of an embedded hypersurface in an arbitrary Riemannian manifold. Main applications include:…
Fermionic Dyson expansions and stochastic Duistermaat-Heckman localization on loop spaces
Batu Güneysu, Jonas Miehe
Given a self-adjoint operator and (appropriate) densely defined and closed operators in a Hilbert space , we provide a systematic study…
Neumann cut-offs and essential self-adjointness on complete Riemannian manifolds with boundary
Davide Bianchi, Batu Güneysu, Alberto G. Setti
We generalize some fundamental results for noncompact Riemannian manfolds without boundary, that only require completeness and no curvature assumptions, to manifolds with boundary:…
Locally convex aspects of the Kato and the Dynkin class on manifolds
Batu Güneysu, Kazuhiro Kuwae
We consider the Kato and the Dynkin class and their local counterparts on a smooth Riemannian manifold as Fréchet spaces. Based on recent results by Carron, Mondello and Tewodrose…
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 cr…
The BMS conjecture
Batu Güneysu
I explain an open conjecture by Braverman/Milatovic/Shubin (BMS) on the positivity of square integrable solutions of on a geodescially complete Riemannian manif…