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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.)

Geometry of bifurcation sets of generic unfoldings of corank two functions

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Author(s):
Saji, Kentaro [1] ; dos Santos, Samuel Paulino [2]
Total Authors: 2
Affiliation:
[1] Kobe Univ, Grad Sch Sci, Dept Math, Nada Ku, Rokkodai 1-1, Kobe, Hyogo 6578501 - Japan
[2] Univ Estadual Paulista Unesp, Dept Matemat, Ibilce, R Cristovao Colombo, 2265, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: MONATSHEFTE FUR MATHEMATIK; v. 196, n. 3 JUL 2021.
Web of Science Citations: 0
Abstract

We study the geometry of bifurcation sets of generic unfoldings of D-4(+/-)-functions. Taking blow-ups, we show each of the bifurcation sets of D-4(+/-)-functions admits a parametrization as a surface in R-3. Using this parametrization, we investigate the behavior of the Gaussian curvature and the principal curvatures. Furthermore, we investigate the number of ridge curves and subparabolic curves near their singular point. (AU)

FAPESP's process: 18/17712-7 - Geometry of singular surfaces
Grantee:Samuel Paulino dos Santos
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 19/10156-4 - Geometry of singular surfaces
Grantee:Samuel Paulino dos Santos
Support Opportunities: Scholarships abroad - Research Internship - Doctorate