A non-Sasakian Lefschetz $K$-contact manifold of Tievsky type
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- by Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero and Ivan Yudin PDF
- Proc. Amer. Math. Soc. 144 (2016), 5341-5350 Request permission
Abstract:
We find a family of five dimensional completely solvable compact manifolds that constitute the first examples of $K$-contact manifolds which satisfy the Hard Lefschetz Theorem and have a model of Tievsky type just as Sasakian manifolds but do not admit any Sasakian structure.References
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Additional Information
- Beniamino Cappelletti-Montano
- Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy
- MR Author ID: 772997
- Email: b.cappellettimontano@gmail.com
- Antonio De Nicola
- Affiliation: CMUC, Department of Mathematics, University of Coimbra, 3001-501 Coimbra, Portugal
- MR Author ID: 805685
- Email: antondenicola@gmail.com
- Juan Carlos Marrero
- Affiliation: Unidad Asociada ULL-CSIC “Geometría Diferencial y Mecánica Geométrica” Departamento de Matemáticas, Estadística e Investigación Operativa, Facultad de Ciencias, Universidad de La Laguna, La Laguna, Tenerife, Spain
- MR Author ID: 303974
- Email: jcmarrer@ull.edu.es
- Ivan Yudin
- Affiliation: CMUC, Department of Mathematics, University of Coimbra, 3001-501 Coimbra, Portugal
- MR Author ID: 834050
- Email: yudin@mat.uc.pt
- Received by editor(s): October 22, 2015
- Received by editor(s) in revised form: February 15, 2016
- Published electronically: June 3, 2016
- Additional Notes: This work was partially supported by CMUC – UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020 (second and fourth author), by MICINN (Spain) grants MTM2012-34478 and MTM2015-64166-C2-2-P (second and third author), by Prin 2010/11 – Varietà reali e complesse: geometria, topologia e analisi armonica – Italy (first author), and by the exploratory research project in the frame of Programa Investigador FCT IF/00016/2013 (fourth author)
- Communicated by: Michael Wolf
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 5341-5350
- MSC (2010): Primary 53C25, 53D35
- DOI: https://doi.org/10.1090/proc/13187
- MathSciNet review: 3556276