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The mass of asymptotically hyperbolic Riemannian manifolds by Chrusciel, Piotr T.; Herzlich, Marc is a scholarly article available to read on EtoBox.

What is The mass of asymptotically hyperbolic Riemannian manifolds about?

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 infinity" has spherical topology one single invariant is obtained, called the mass; we show positivity thereof. We apply the definition to conformally compactifiable manifolds, and show that the mass is completion-independent. We also prove the result, closely related to the problem at hand, that conformal completions of conformally compactifiable manifolds are unique.

Author

Chrusciel, Piotr T.; Herzlich, Marc

Published

2001

Language

EN