Strong Kähler with torsion structures from almost contact manifolds

Fernández, Marisa ; Fino, Anna ; Ugarte, Luis (Universidad de Zaragoza) ; Villacampa, Raquel

Resumen: For an almost contact metric manifold N , we find conditions for which either the total space of an S1-bundle over N or the Riemannian cone over N admits a strong K ̈ahler with torsion (SKT) structure. In this way we construct new 6-dimensional SKT manifolds. Moreover, we study the geometric structure induced on a hypersurface of an SKT manifold, and use such structures to construct new SKT manifolds via appropriate evolution equations. Hyper-K ̈ahler with torsion (HKT) structures on the total space of an S1-bundle over manifolds with three almost contact structures are also studied.

Idioma: Inglés

Año: 2011

Publicado en: PACIFIC JOURNAL OF MATHEMATICS 249, 1 (2011), 49-75
ISSN: 0030-8730

Factor impacto JCR: 0.626 (2011)

Categ. JCR: MATHEMATICS rank: 120 / 289 = 0.415 (2011) - Q2 - T2

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)