On an inequality of Brendle in the hyperbolic space (Q1704676)

In the reviewed paper the authors are interested in a Heintze-Karcher-type inequality. Brendle proved this type of inequality for domains in certain warped product manifolds. The authors present a spinorial proof of an inequality of Brendle in the hyperbolic space. First they specialize an inequality proved in their paper [``An Alexandrov theorem in Minkowski spacetime'', Preprint] and state a generalized Reilly-type inequality on spinors. Next applying this inequality the authors prove the theorem.