Graphs of Stable Gauss Maps and Quine’s Theorem for Oriented 2-Manifolds
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/17/3104 |
| _version_ | 1797494330056769536 |
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| author | Catarina Mendes de Jesus Pantaleón D. Romero |
| author_facet | Catarina Mendes de Jesus Pantaleón D. Romero |
| author_sort | Catarina Mendes de Jesus |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T01:32:43Z |
| format | Article |
| id | doaj.art-833c1ed49aee4a8f832c912537d81c48 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:32:43Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-833c1ed49aee4a8f832c912537d81c482023-11-23T13:38:26ZengMDPI AGMathematics2227-73902022-08-011017310410.3390/math10173104Graphs of Stable Gauss Maps and Quine’s Theorem for Oriented 2-ManifoldsCatarina Mendes de Jesus0Pantaleón D. Romero1Departamento de Matemática, Universidade Federal de Juiz de Fora, Juiz de Fora 36036-900, BrazilESI International Chair@CEU-UCH, Departamento de Matemática, Física y Ciencias Tecnológicas, Alfara del Patriarca, 46115 Valencia, SpainIn 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.https://www.mdpi.com/2227-7390/10/17/3104stable Gauss mapscusps of Gauss mapsparabolic curve degreeEuler Characteristic |
| spellingShingle | Catarina Mendes de Jesus Pantaleón D. Romero Graphs of Stable Gauss Maps and Quine’s Theorem for Oriented 2-Manifolds Mathematics stable Gauss maps cusps of Gauss maps parabolic curve degree Euler Characteristic |
| title | Graphs of Stable Gauss Maps and Quine’s Theorem for Oriented 2-Manifolds |
| title_full | Graphs of Stable Gauss Maps and Quine’s Theorem for Oriented 2-Manifolds |
| title_fullStr | Graphs of Stable Gauss Maps and Quine’s Theorem for Oriented 2-Manifolds |
| title_full_unstemmed | Graphs of Stable Gauss Maps and Quine’s Theorem for Oriented 2-Manifolds |
| title_short | Graphs of Stable Gauss Maps and Quine’s Theorem for Oriented 2-Manifolds |
| title_sort | graphs of stable gauss maps and quine s theorem for oriented 2 manifolds |
| topic | stable Gauss maps cusps of Gauss maps parabolic curve degree Euler Characteristic |
| url | https://www.mdpi.com/2227-7390/10/17/3104 |
| work_keys_str_mv | AT catarinamendesdejesus graphsofstablegaussmapsandquinestheoremfororiented2manifolds AT pantaleondromero graphsofstablegaussmapsandquinestheoremfororiented2manifolds |