9 citations · 40 across the 7 of their papers we have counts for
7 papers
Completeness of hyperbolic centroaffine hypersurfaces
Vicente Cortés, Marc Nardmann, Stefan Suhr
This paper is concerned with the completeness (with respect to the centroaffine metric) of hyperbolic centroaffine hypersurfaces which are closed in the ambient vector space. We sh…
Every conformal class contains a metric of bounded geometry
Olaf Müller, Marc Nardmann
We show that on every manifold, every conformal class of semi-Riemannian metrics contains a metric such that each -th-order covariant derivative of the Riemann tensor of …
The Yamabe constant on noncompact manifolds
Nadine Große, Marc Nardmann
We prove several facts about the Yamabe constant of Riemannian metrics on general noncompact manifolds and about S. Kim's closely related "Yamabe constant at infinity". In particul…
Some Curvature Problems in Semi-Riemannian Geometry
Felix Finster, Marc Nardmann
In this survey article we review several results on the curvature of semi-Riemannian metrics which are motivated by the positive mass theorem. The main themes are estimates of the…
A remark on the rigidity case of the positive energy theorem
Marc Nardmann
In their proof of the positive energy theorem, Schoen and Yau showed that every asymptotically flat spacelike hypersurface M of a Lorentzian manifold which is flat along M can be i…
Nonexistence of spacelike foliations and the dominant energy condition in Lorentzian geometry
Marc Nardmann
We show that many Lorentzian manifolds of dimension >2 do not admit a spacelike codimension-one foliation, and that almost every manifold of dimension >2 which admits a Lorentzian…
Pseudo-Riemannian metrics with prescribed scalar curvature
Marc Nardmann
We consider the following generalisation of a well-known problem in Riemannian geometry: When is a smooth real-valued function s on a given compact n-dimensional manifold M (with o…