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math.DG2025
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:…
math.DG2024
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…
math.DG2024
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:…