Graphs of Stable Gauss Maps and Quine’s Theorem for Oriented 2-Manifolds

Catarina Mendes de Jesus and Pantaleón D. Romero ()
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Catarina Mendes de Jesus: Departamento de Matemática, Universidade Federal de Juiz de Fora, Juiz de Fora 36036-900, Brazil
Pantaleón D. Romero: ESI International Chair@CEU-UCH, Departamento de Matemática, Física y Ciencias Tecnológicas, Alfara del Patriarca, 46115 Valencia, Spain

Mathematics, 2022, vol. 10, issue 17, 1-11

Abstract: In this paper we will study the topology of the singular set of stable Gauss maps from closed orientable surfaces immersed in the 3-space from a global point of view and we will obtain a relationship between the Euler Characteristic of the regular components and the signs of the cusps.

Keywords: stable Gauss maps; cusps of Gauss maps; parabolic curve degree; Euler Characteristic (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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