A property of the Brown-York mass in Schwarzschild manifolds

Abstract

We will extend partially our previous results about the limit of the Brown-York mass of a family of convex revolution surfaces in the Schwarzschild manifold such that these surfaces may have unbounded ratios of their radii.

Minor typos corrected. To appear in Journal of Mathematical Analysis and Applications. arXiv admin note: text overlap with arXiv:0910.3514