caa a22 4500 445836245 CHVBK 20180317145331.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00209-009-0625-5 doi (NATIONALLICENCE)springer-10.1007/s00209-009-0625-5 Codimension three nonnegatively curved submanifolds with infinite fundamental group [Elektronische Daten] [J. Foss, M. De Martino, M. Noronha, G. Santos] We show that a complete, codimension three submanifold M of nonnegative sectional curvature that isometrically splits as $${\bar{M} \times \mathbb{R}}$$ has nonnegative curvature operator. We apply this result to obtain a classification of codimension three nonflat manifolds of nonnegative sectional curvature and infinite fundamental group. Springer-Verlag, 2009 Curvature operator nationallicence Lines nationallicence Fundamental group nationallicence Holonomy algebra nationallicence Foss J. Department of Mathematics, California State University Northridge, 91330-8313, Northridge, CA, USA aut De Martino M. IMECC-UNICAMP, Universidade Estadual de Campinas, 13081-970, Campinas, SP, Brazil aut Noronha M. Department of Mathematics, California State University Northridge, 91330-8313, Northridge, CA, USA aut Santos G. DM-UFPI, Universidade Federal do Piauí, 64.049-550, Teresina, PI, Brazil aut Mathematische Zeitschrift Springer-Verlag 267/1-2(2011-02-01), 403-411 0025-5874 267:1-2<403 2011 267 209 https://doi.org/10.1007/s00209-009-0625-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-009-0625-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Foss J. Department of Mathematics, California State University Northridge, 91330-8313, Northridge, CA, USA aut NATIONALLICENCE 700 1- De Martino M. IMECC-UNICAMP, Universidade Estadual de Campinas, 13081-970, Campinas, SP, Brazil aut NATIONALLICENCE 700 1- Noronha M. Department of Mathematics, California State University Northridge, 91330-8313, Northridge, CA, USA aut NATIONALLICENCE 700 1- Santos G. DM-UFPI, Universidade Federal do Piauí, 64.049-550, Teresina, PI, Brazil aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 267/1-2(2011-02-01), 403-411 0025-5874 267:1-2<403 2011 267 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer