Families of spherical surfaces and harmonic maps - BV FAPESP
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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Families of spherical surfaces and harmonic maps

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Author(s):
Brander, David [1] ; Tari, Farid [2]
Total Authors: 2
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
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