36 citations · 79 across the 8 of their papers we have counts for
8 papers
Boundary value problems for general first-order elliptic differential operators
Christian Baer, Lashi Bandara
We study boundary value problems for first-order elliptic differential operators on manifolds with compact boundary. The adapted boundary operator need not be selfadjoint and the b…
Differential Characters and Geometric Chains
Christian Baer, Christian Becker
We study Cheeger-Simons differential characters and provide geometric descriptions of the ring structure and of the fiber integration map. The uniqueness of differential cohomology…
Wiener Measures on Riemannian Manifolds and the Feynman-Kac Formula
Christian Baer, Frank Pfaeffle
This is an introduction to Wiener measure and the Feynman-Kac formula on general Riemannian manifolds for Riemannian geometers with little or no background in stochastics. We expla…
Wave Equations on Lorentzian Manifolds and Quantization
Christian Baer, Nicolas Ginoux, Frank Pfaeffle
This book provides a detailed introduction to linear wave equations on Lorentzian manifolds (for vector-bundle valued fields). After a collection of preliminary material in the fir…
Small eigenvalues of the Conformal Laplacian
Christian Baer, Mattias Dahl
We introduce a differential topological invariant for compact differentiable manifolds by counting the small eigenvalues of the Conformal Laplace operator. This invariant vanishes…
The Dirac Operator on Hyperbolic Manifolds of Finite Volume
Christian Baer
We study the spectrum of the Dirac operator on hyperbolic manifolds of finite volume. Depending on the spin structure it is either discrete or the whole real line. For link complem…