Hypersato Structures

We define hypersato structures: these structures admit three inequivalent Sasakian structures such that each of these structures shares a common Reeb vector field and a common contact form with the others two. It is interestingto notice that hypersato manifolds can be viewed as U(1) principal orbib...

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Autor Principal: Cuadros Valle, Jaime
Formato: Artículo
Idioma: spa
Publicado: Pontificia Universidad Católica del Perú 2014
Materias:
Acceso en línea: http://revistas.pucp.edu.pe/index.php/promathematica/article/view/10410/10860
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Sumario: We define hypersato structures: these structures admit three inequivalent Sasakian structures such that each of these structures shares a common Reeb vector field and a common contact form with the others two. It is interestingto notice that hypersato manifolds can be viewed as U(1) principal orbibundles with base space a 4n-dimensional hyperkahler orbifold. We also discuss some results on the moduli problem of these structures.