13 citations · 41 across the 20 of their papers we have counts for
7 papers · 1 filter
A Chern-Simons transgression formula for supersymmetric path integrals on spin manifolds
Sebastian Boldt, Sergio Luigi Cacciatori, Batu Güneysu
Earlier results show that the N = 1/2 supersymmetric path integral on a closed even dimensional Riemannian spin manifold (X,g) can be constructed in a mathematically rigorous way v…
Nonlinear Calderón-Zygmund inequalities for maps
Batu Güneysu, Stefano Pigola
Being motivated by the problem of deducing -bounds on the second fundamental form of an isometric immersion from -bounds on its mean curvature vector field, we prove a (n…
On the geometry of semiclassical limits on Dirichlet spaces
Batu Güneysu
This paper is a contribution to semiclassical analysis for abstract Schrödinger type operators on locally compact spaces: Let be a metrizable seperable locally compact space, l…
Quantitative C^1 - estimates on manifolds
Batu Güneysu, Stefano Pigola
We prove a -elliptic estimate of the form valid on any comple…
Scattering theory of the Hodge-Laplacian under a conformal perturbation
Francesco Bei, Batu Güneysu, Jörn Müller
Let and be Riemannian metrics on a noncompact manifold , which are conformally equivalent. We show that under a very mild \emph{first order} control on the confo…
The Calderón-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds
Batu Güneysu, Stefano Pigola
We introduce the concept of Calderón-Zygmund inequalities on Riemannian manifolds. For , these are inequalities of the form $$ \left\Vert \mathrm{Hess}\left( u\right) \…
Sequences of Laplacian cut-off functions
Batu Güneysu
We derive several new applications of the concept of sequences of Laplacian cut-off functions on Riemannian manifolds (which we prove to exist on geodesically complete Riemannian m…