Topology of nonnegative curvature foliations on five-dimensional manifolds II

Authors

  • D.V. Bolotov

DOI:

https://doi.org/10.15407/dopovidi2014.05.007

Keywords:

five-dimensional manifolds, foliations, topology

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.

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References

Bolotov D. V. Dopov. Nac. akad. nauk Ukr., 2012, No. 12: 7–12 (in Russian).

Massi U., Stollings D. Algebraic topology. Introduction. Moscow: Mir, 1977 (in Russian).

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).

Bolotov D. V. Mat. sb., 2013, 204, No. 5: 3–24 (in Russian).

Cheeger J., Gromoll D. Ann. Math., 1972, 96: 413–443. https://doi.org/10.2307/1970819

Maltsev A. I. Uch. zap. Ivanov. ped. in-ta.,1958, 18: 49–60 (in Russian).

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Published

25.02.2025

How to Cite

Bolotov, D. (2025). Topology of nonnegative curvature foliations on five-dimensional manifolds II . Reports of the National Academy of Sciences of Ukraine, (5), 7–10. https://doi.org/10.15407/dopovidi2014.05.007

Issue

No. 5 (2014): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

License

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