Artículo
Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures
Autor/es | Cappelletti Montano, Beniamino
Carriazo Rubio, Alfonso Martín Molina, Verónica |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología Universidad de Sevilla. Departamento de Didáctica de las Matemáticas |
Fecha de publicación | 2013-11 |
Fecha de depósito | 2016-10-06 |
Publicado en |
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Resumen | 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 ... 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. |
Agencias financiadoras | Junta de Andalucía Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | FQM-327
MTM2011-22621 |
Cita | 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. |
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