Title | Topology of nonnegative curvature foliations on five-dimensional manifolds II |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Bolotov, DV |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2014.05.007 |
Issue | 5 |
Section | Mathematics |
Pagination | 7-10 |
Date Published | 5/2014 |
Language | Russian |
Abstract | We give a complete proof of that a closed manifold homeomorphic to a five-dimensional sphere does not admit a foliation of nonnegative curvature with codimension one. |
Keywords | five-dimensional manifolds, foliations, topology |
1. Bolotov D. V. Dopov. Nac. akad. nauk Ukr., 2012, No. 12: 7–12 (in Russian).
2. Massi U., Stollings D. Algebraic topology. Introduction. Moscow: Mir, 1977 (in Russian).
3. Bolotov D. V. On the structure of codimension foliations of one nonnegative curvature. Proceedings of the Actual problems of modern mathematics, mechanics and computer science V. N. Karazin Kharkiv National University. Kharkiv: Apostrof, 2011: 324–331 (in Russian).
4. Bolotov D. V. Mat. sb., 2013, 204, No. 5: 3–24 (in Russian).
5. Cheeger J., Gromoll D. Ann. Math., 1972, 96: 413–443. https://doi.org/10.2307/1970819
6. Maltsev A. I. Uch. zap. Ivanov. ped. in-ta.,1958, 18: 49–60 (in Russian).