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math.DG2001
A Burns-Epstein invariant for ACHE 4-manifolds
Olivier Biquard, Marc Herzlich
We define a renormalized characteristic class for Einstein asymptotically complex hyperbolic (ACHE) manifolds of dimension 4: for any such manifold, the polynomial in the curvature…
math.DG2001
The mass of asymptotically hyperbolic Riemannian manifolds
Piotr T. Chrusciel, Marc Herzlich
We present a set of global invariants, called "mass integrals", which can be defined for a large class of asymptotically hyperbolic Riemannian manifolds. When the "boundary at infi…
math.DG2001
Rigidity at infinity for even-dimensional asymptotically complex hyperbolic spaces
Hassan Boualem, Marc Herzlich
Any Kaehler metric on the ball which is strongly asymptotic to complex hyperbolic space and whose scalar curvature is no less than the one of the complex hyperbolic space must be i…