Geometry and topology under positive/nonnegative sectional curvature
Studyng geometry of some Riemannian manifolds with a help of a computer
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Author(s): |
Total Authors: 2
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Affiliation: | [1] UFPR, Dept Matemat, Setor Ciencias Exatas, Ctr Politecn, BR-81531990 Curitiba, Parana - Brazil
[2] IMECC UNICAMP, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
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Document type: | Journal article |
Source: | MANUSCRIPTA MATHEMATICA; v. 147, n. 3-4, p. 511-525, JUL 2015. |
Web of Science Citations: | 2 |
Abstract | |
We give a geometric obstruction to the non-negativity of the sectional curvature in the total spaces of Riemannian submersions defined as pullbacks. Applications of this obstruction to several examples are given. (AU) | |
FAPESP's process: | 12/25409-6 - Topology of Smooth Maps of Homogeneous Spaces and Exotic Spheres |
Grantee: | Llohann Dallagnol Sperança |
Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
FAPESP's process: | 09/07953-8 - Geometry and Topology of Coboundaries |
Grantee: | Llohann Dallagnol Sperança |
Support Opportunities: | Scholarships in Brazil - Doctorate |