Qualitative theory of differential equations and singularity theory
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Inst Matemat & Estat USP, Vila Univ 1010, BR-05508090 Sao Paulo, SP - Brazil
[2] Inst Ciencia & Tecnol Unifesp, Ave Cesare Mansueto Giulio Lattes 1201, BR-12247014 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | INTERNATIONAL MATHEMATICS RESEARCH NOTICES; v. 2020, n. 23, p. 9730-9768, NOV 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We provide geometric realizations of both classical and ``exotic{''} -manifolds such as spheres, Kervaire manifolds, bundles over spheres, homogeneous spaces, and connected sums among them. As an application, we apply the process known as Cheeger deformation to produce new metrics of both positive Ricci and almost non-negative curvature on such objects. (AU) | |
| FAPESP's process: | 09/07953-8 - Geometry and Topology of Coboundaries |
| Grantee: | Llohann Dallagnol Sperança |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 17/10892-7 - Geometry and topology under positive/nonnegative sectional curvature |
| Grantee: | Llohann Dallagnol Sperança |
| Support Opportunities: | Regular Research Grants |
| 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 |