| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Tech Univ Denmark, Dept Appl Math & Comp Sci, Bldg 303 B, DK-2800 Lyngby - Denmark
[2] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Ave Trabalhador Sao Carlense, 400 Ctr, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Geometriae Dedicata; v. 201, n. 1, p. 203-225, AUG 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We study singularities of constant positive Gaussian curvature surfaces and determine the way they bifurcate in generic 1-parameter families of such surfaces. We construct the bifurcations explicitly using loop group methods. Constant Gaussian curvature surfaces correspond to harmonic maps, and we examine the relationship between the two types of maps and their singularities. Finally, we determine which finitely A-determined map-germs from the plane to the plane can be represented by harmonic maps. (AU) | |
| FAPESP's process: | 16/02701-4 - Flat and round singularity theory |
| Grantee: | Farid Tari |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 14/00304-2 - Singularities of differentiable mappings: theory and applications |
| Grantee: | Maria Aparecida Soares Ruas |
| Support Opportunities: | Research Projects - Thematic Grants |