1503.00274Mar 1, 2015There is a gap in the proof of Theorem 1.1 and 1.2. We thank C. Morpurgo for pointing out this fact to us. A partial fix has been given by L. Fontana, C. Morpurgo and L. Qin in a forthcoming paper: Moser-Trudinger inequalities: from local to global, Ann. Mat. Pura Appl., to appear
Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature
Qiaohua Yang, Dan Su, Yinying Kong
Abstract
Let M be a complete, simply connected Riemannian manifold with negative curvature. We obtain some Moser-Trudinger inequalities with sharp constants on M.