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A K-contact simply connected 5-manifold with no semi-regular sasakian structure
Cita
Cañas Muñoz, Alejandro, Muñoz Velázquez, Vicente 
ORCID: https://orcid.org/0000-0001-6265-2934, Rojo Carulli, Juan Ángel ORCID: https://orcid.org/0000-0002-3816-0398 and Viruel Arbáizar, Antonio Ángel ORCID: https://orcid.org/0000-0002-1605-5845
(2021).
A K-contact simply connected 5-manifold with no semi-regular sasakian structure.
"Publicacions Matematiques", v. 65
(n. 2);
pp. 615-651.
ISSN 2014-4350.
https://doi.org/10.5565/PUBLMAT6522107.
ORCID: https://orcid.org/0000-0001-6265-2934, Rojo Carulli, Juan Ángel ORCID: https://orcid.org/0000-0002-3816-0398 and Viruel Arbáizar, Antonio Ángel ORCID: https://orcid.org/0000-0002-1605-5845
(2021).
A K-contact simply connected 5-manifold with no semi-regular sasakian structure.
"Publicacions Matematiques", v. 65
(n. 2);
pp. 615-651.
ISSN 2014-4350.
https://doi.org/10.5565/PUBLMAT6522107.
Descripción
| Título: | A K-contact simply connected 5-manifold with no semi-regular sasakian structure |
|---|---|
| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Publicacions Matematiques |
| Fecha: | 1 Enero 2021 |
| ISSN: | 2014-4350 |
| Volumen: | 65 |
| Número: | 2 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Algebraic surface, K-contact, Sasakian, Seifert bundle, Smale-Barden manifold, Smale–Barden manifold |
| Escuela: | E.T.S. de Ingenieros Informáticos (UPM) |
| Departamento: | Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
We construct the first example of a 5-dimensional simply connected compact manifold that admits a K-contact structure but does not admit any semi-regular Sasakian structure. For this, we need two ingredients: (a) to construct a suitable simply connected symplectic 4-manifold with disjoint symplectic surfaces spanning the homology, all of them of genus 1 except for one of genus g > 1; (b) to prove a bound on the second Betti number b(2) of an algebraic surface with b(1) = 0 and having disjoint complex curves spanning the homology, all of them of genus 1 except for one of genus g > 1.
Más información
| ID de Registro: | 93204 |
|---|---|
| Identificador DC: | https://oa.upm.es/93204/ |
| Identificador OAI: | oai:oa.upm.es:93204 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/9339703 |
| Identificador DOI: | 10.5565/PUBLMAT6522107 |
| URL Oficial: | https://mat.uab.cat/pubmat/articles/view_doi/10.55... |
| Depositado por: | iMarina Portal Científico |
| Depositado el: | 21 Ene 2026 17:04 |
| Ultima Modificación: | 21 Ene 2026 17:04 |
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