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On the construction of minimal foliations by hyperbolic surfaces on 3-manifolds

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Abstract

We describe several methods to construct minimal foliations by hyperbolic surfaces on closed 3-manifolds, and discuss the properties of the examples thus obtained.

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Authors and Affiliations

  1. Instituto de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    Fernando Alcalde Cuesta

  2. Institut de Recherche Mathématique de Rennes, Université de Rennes 1, 35042, Rennes, France

    Françoise Dal’Bo

  3. Instituto de Matemática y Estadística Rafael Laguardia, Facultad de Ingeniería, Universidad de la República, J.Herrera y Reissig 565, C.P. 11300, Montevideo, Uruguay

    Matilde Martínez

  4. Universidad Nacional Autónoma de México, Apartado Postal 273, Admon. de correos #3, C.P. 62251, Cuernavaca, Morelos, Mexico

    Alberto Verjovsky

Authors
  1. Fernando Alcalde Cuesta
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  2. Françoise Dal’Bo
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  3. Matilde Martínez
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  4. Alberto Verjovsky
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Corresponding author

Correspondence to Fernando Alcalde Cuesta.

Additional information

Dedicated to Felipe Cano on the occasion of his 60th birthday.

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This work was partially supported by Spanish MINECO/AEI Excellence Grant MTM2016-77642-C2-2-P, Galician Grant GPC2015/006 and European Regional Development Fund, ANII (Uruguay) FCE-135352 and project PAPIIT IN106817 (UNAM, Mexico). The authors Françoise Dal’Bo, Matilde Martínez, and Alberto Verjovsky would like to thank the University of Santiago de Compostela for its hospitality. All the authors are also grateful to the referees for a very careful reading of the manuscript and many valuable suggestions.

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Cuesta, F.A., Dal’Bo, F., Martínez, M. et al. On the construction of minimal foliations by hyperbolic surfaces on 3-manifolds. RACSAM 113, 4127–4144 (2019). https://doi.org/10.1007/s13398-019-00677-6

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  • DOI: https://doi.org/10.1007/s13398-019-00677-6

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