Proceedings of the XXII IFWGP, University of Évora, Portugal, 2013No Access

Examples of compact K-contact manifolds with no Sasakian metric

Beniamino Cappelletti-Montano

Dipartimento di Matematica e Informatica, Università Degli Studi di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy

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Antonio De Nicola

CMUC, Department of Mathematics, University of Coimbra, 3001-501 Coimbra, Portugal

Corresponding author.

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Juan Carlos Marrero

Unidad Asociada ULL-CSIC, "Geometría Diferencial y Mecánica Geométrica", Departamento de Matemáticas, Estadística e Investigación Operativa, Facultad de Ciencias, Universidad de la Laguna, Spain

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, and

Ivan Yudin

CMUC, Department of Mathematics, University of Coimbra, 3001-501 Coimbra, Portugal

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https://doi.org/10.1142/S0219887814600287Cited by:11 (Source: Crossref)

Abstract

Using the hard Lefschetz theorem for Sasakian manifolds, we find two examples of compact K-contact nilmanifolds with no compatible Sasakian metric in dimensions 5 and 7, respectively.

Submitted to the Special Issue for the XXII IFWGP Évora, with Associated Editors R. Albuquerque, M. de Léon and M. C. Muñoz-Lecanda.

Keywords:

AMSC: 53C25, 53D35

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