Professor Norbert Peyerimhoff's Outputs (2)

On the distribution of hypersurfaces equidistant from totally geodesic submanifolds in hyperbolic space (1998)
Journal Article
Karp, L., & Peyerimhoff, N. (1998). On the distribution of hypersurfaces equidistant from totally geodesic submanifolds in hyperbolic space. Analysis, 18, 217-225. https://doi.org/10.1524/anly.1998.18.3.217

Let H be the n-dimensional real hyperbolic space and pi: H -> M be the universal covering map of a compact Riemannian manifold M of constant curvature -1. Let P be a k-dimensional complete totally geodesic submanifold of H and P_r be the correspondin... Read More about On the distribution of hypersurfaces equidistant from totally geodesic submanifolds in hyperbolic space.

On index formulas for manifolds with metric horns (1998)
Journal Article
Lesch, M., & Peyerimhoff, N. (1998). On index formulas for manifolds with metric horns. Communications in Partial Differential Equations, 23(3 & 4), 649-684

In this paper we discuss the index problem for geometric differential operators (Spin-Dirac operator, Gauss-Bonnet operator, Signature operator) on manifolds with metric horns. On singular manifolds these operators in general do not have unique close... Read More about On index formulas for manifolds with metric horns.