dc.creator | Cappelletti Montano, Beniamino | es |
dc.creator | Carriazo Rubio, Alfonso | es |
dc.creator | Martín Molina, Verónica | es |
dc.date.accessioned | 2016-10-06T07:36:07Z | |
dc.date.available | 2016-10-06T07:36:07Z | |
dc.date.issued | 2013-11 | |
dc.identifier.citation | Cappelletti Montano, B., Carriazo Rubio, A. y Martín Molina, V. (2013). Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures. Journal of Geometry and Physics, 73, 20-36. | |
dc.identifier.issn | 0393-0440 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47076 | |
dc.description.abstract | We prove that every contact metric (κ, µ)-space admits a canonical η-Einstein Sasakian or η-Einstein paraSasakian metric. An explicit expression for the curvature tensor fields of those metrics is given and we find the values of κ and µ for which such metrics are Sasaki-Einstein and paraSasakiEinstein. Conversely, we prove that, under some natural assumptions, a K-contact or K-paracontact manifold foliated by two mutually orthogonal, totally geodesic Legendre foliations admits a contact
metric (κ, µ)-structure. Furthermore, we apply the above results to the geometry of tangent sphere bundles and we discuss some geometric properties of (κ, µ)-spaces related to the existence of EisteinWeyl
and Lorentzian Sasaki-Einstein structures. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Geometry and Physics, 73, 20-36. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Contact metric manifold | es |
dc.subject | Sasakian | es |
dc.subject | Paracontact | es |
dc.subject | ParaSasakian | es |
dc.subject | Nullity distribution | es |
dc.subject | (κ, µ)-spaces | es |
dc.subject | Einstein | es |
dc.subject | η-Einstein | es |
dc.subject | Legendre foliation | es |
dc.subject | Weyl structure | es |
dc.subject | Lorentzian Sasakian | es |
dc.subject | Tangent sphere bundle | es |
dc.title | Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Didáctica de las Matemáticas | es |
dc.relation.projectID | FQM-327 | es |
dc.relation.projectID | MTM2011-22621 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0393044013001010/1-s2.0-S0393044013001010-main.pdf?_tid=40027060-8b97-11e6-8887-00000aab0f27&acdnat=1475739421_147f95acc6ce765dbabcffa75b9fe968 | es |
dc.identifier.doi | 10.1016/j.geomphys.2013.05.001 | es |
dc.contributor.group | Universidad de Sevilla. FQM327: Geometria (Semi) Riemanniana y Aplicaciones | es |
dc.contributor.group | Universidad de Sevilla. FQM226: Grupo de Investigacion en Educacion Matematica | es |
idus.format.extent | 20 p. | es |
dc.journaltitle | Journal of Geometry and Physics | es |
dc.publication.volumen | 73 | es |
dc.publication.initialPage | 20 | es |
dc.publication.endPage | 36 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47076 | |
dc.contributor.funder | Junta de Andalucía | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |