caa a22 4500 606200940 CHVBK 20210128100946.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00025-014-0427-x doi (NATIONALLICENCE)springer-10.1007/s00025-014-0427-x Compactness in Weighted Manifolds and Applications [Elektronische Daten] [M. Cavalcante, J. Oliveira, M. Santos] In this paper we prove compactness theorems for weighted manifolds under suitable assumptions on their generalized Ricci curvatures and in the sense of the classical Myers compactness theorem. As applications we present new closures theorems for space-like hypersurfaces in some space-time manifolds. Springer Basel, 2015 Bakry-Émery Ricci curvature tensor nationallicence closure theorem nationallicence Riccati equation nationallicence Cavalcante M. Instituto de Matemática, Universidade Federal de Alagoas, CEP 57072-970, Maceió, AL, Brazil aut Oliveira J. Faculdade de Educação, Ciências e Letras do Sertão Central, Universidade Esta-dual do Ceará, 63900-000, Quixadá, CE, Brazil aut Santos M. Instituto de Matemática, Universidade Federal de Alagoas, CEP 57072-970, Maceió, AL, Brazil aut Results in Mathematics Springer Basel 68/1-2(2015-09-01), 143-156 1422-6383 68:1-2<143 2015 68 25 https://doi.org/10.1007/s00025-014-0427-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00025-014-0427-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cavalcante M. Instituto de Matemática, Universidade Federal de Alagoas, CEP 57072-970, Maceió, AL, Brazil aut NATIONALLICENCE 700 1- Oliveira J. Faculdade de Educação, Ciências e Letras do Sertão Central, Universidade Esta-dual do Ceará, 63900-000, Quixadá, CE, Brazil aut NATIONALLICENCE 700 1- Santos M. Instituto de Matemática, Universidade Federal de Alagoas, CEP 57072-970, Maceió, AL, Brazil aut NATIONALLICENCE 773 0- Results in Mathematics Springer Basel 68/1-2(2015-09-01), 143-156 1422-6383 68:1-2<143 2015 68 25