Projections of surfaces in R-4 to R-3 and the geometry of their singular images

Sinha, Raul Oset; Tari, Farid

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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.)

Projections of surfaces in R-4 to R-3 and the geometry of their singular images

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Author(s):	Sinha, Raul Oset ^[1] ; Tari, Farid ^[2] Total Authors: 2
Affiliation:	^[1] Univ Valencia, Dept Geometria & Topol, E-46100 Valencia - Spain ^[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	REVISTA MATEMATICA IBEROAMERICANA; v. 31, n. 1, p. 33-50, 2015.
Web of Science Citations:	9
Abstract
We study the geometry of germs of singular surfaces in R-3 whose parametrisations have an A-singularity of A(e)-codimension less than or equal to 3, via their contact with planes. These singular surfaces occur as projections of smooth surfaces in R-4 to R-3. We recover some aspects of the extrinsic geometry of these surfaces in R-4 from those of the images of their projections. (AU)

FAPESP's process:	11/21240-4 - Singularity theory and the geometry of submanifolds of the Minkowski space
Grantee:	Farid Tari
Support Opportunities:	Regular Research Grants


FAPESP's process:	10/01501-5 - Topological invariants of stable maps.
Grantee:	Raúl Adrián Oset Sinha
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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