Projections of surfaces in R4 to R3 and the geometry of their singular images

• Raúl Oset Sinha ^[1] ; Farid Tari ^[2]
  1. [1] Universitat de València

     Universitat de València

     Valencia, España

     
  2. [2] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 1, 2015, págs. 33-50
• Idioma: inglés
• DOI: 10.4171/RMI/825
• Texto completo no disponible (Saber más ...)
• Resumen

  • We study the geometry of germs of singular surfaces in R3 whose parametrisations have an A-singularity of Ae-codimension less than or equal to 3, via their contact with planes. These singular surfaces occur as projections of smooth surfaces in R4 to R3. We recover some aspects of the extrinsic geometry of these surfaces in R4 from those of the images of their projections.