caa a22 4500 445843268 CHVBK 20180317145351.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s00526-010-0365-8 doi (NATIONALLICENCE)springer-10.1007/s00526-010-0365-8 de Moura Almaraz Sérgio Instituto de Matemática, Universidade Federal Fluminense (UFF), Rua Mário Santos Braga S/N, 24020-140, Niterói, RJ, Brazil aut A compactness theorem for scalar-flat metrics on manifolds with boundary [Elektronische Daten] [Sérgio de Moura Almaraz] Let (M n, g) be a compact Riemannian manifold with boundary ∂M. This paper is concerned with the set of scalar-flat metrics which are in the conformal class of g and have ∂M as a constant mean curvature hypersurface. We prove that this set is compact for dimensions n ≥ 7 under the generic condition that the trace-free 2nd fundamental form of ∂M is nonzero everywhere. Springer-Verlag, 2010 Calculus of Variations and Partial Differential Equations Springer-Verlag 41/3-4(2011-07-01), 341-386 0944-2669 41:3-4<341 2011 41 526 https://doi.org/10.1007/s00526-010-0365-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0365-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- de Moura Almaraz Sérgio Instituto de Matemática, Universidade Federal Fluminense (UFF), Rua Mário Santos Braga S/N, 24020-140, Niterói, RJ, Brazil aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 41/3-4(2011-07-01), 341-386 0944-2669 41:3-4<341 2011 41 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer