49 citations · 87 across the 7 of their papers we have counts for
7 papers
A mass for asymptotically complex hyperbolic manifolds
Vincent Minerbe, Daniel Maerten
We prove a positive mass theorem for complete Kähler manifolds that are asymptotic to the complex hyperbolic space.
Killing Initial Data on Totally Umbilical & Compact Hypersurfaces
Daniel Maerten
In this note, we give a geometric characterization of the compact and totally umbilical hypersurfaces that carry a non trivial locally static Killing Initial Data (KID). More preci…
Eigenvalues estimate for the Neumann problem on bounded domains
Bruno Colbois, Daniel Maerten
In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a bounded domain (with smooth boundary) in a given complete (not compact a priori)…
Optimal eigenvalue estimate for the Dirac-Witten operator on bounded domains with smooth boundary
Daniel Maerten
Eigenvalue estimate for the Dirac-Witten operator is given on bounded domains (with smooth boundary) of spacelike hypersurfaces satisfying the dominant energy condition, under four…
Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times
Piotr T. Chrusciel, Daniel Maerten, Paul Tod
We prove upper bounds on angular momentum and centre of mass in terms of the Hamiltonian mass and cosmological constant for non-singular asymptotically anti-de Sitter initial data…
Killing vectors in asymptotically flat space--times: II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions
Piotr T. Chrusciel, Daniel Maerten
We show that the borderline cases in the proof of the positive energy theorem for initial data sets, on spin manifolds, in dimensions , are only possible for initial data a…