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Geometry, Algebra and Applications: From Mechanics to Cryptography pp 1–12Cite as

A Survey on Homogeneous Structures on the Classical Hyperbolic Spaces

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 161))

Abstract

This is a survey on homogeneous Riemannian, Kähler or quaternionic Kähler structures on the real, complex or quaternionic hyperbolic spaces \(\mathbb {R}\mathrm {H}(n)\), \(\mathbb {C}\mathrm {H}(n)\) and \( \mathbb {H}\mathrm {H}(n)\), respectively.

Dedicated to our colleague and friend Jaime Muñoz Masqué, a good mathematician, with affection and admiration, on the occasion of his 65th birthday

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Acknowledgments

The second author has been supported by the Ministry of Economy and Competitiveness, Spain, under Project MTM2013-46961-P.

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Authors and Affiliations

  1. Département de Mathématiques et Informatique, Ecole Normale Supérieure d’Enseignement Technologique d’Oran, B.P. 1523, El M’Naouar, Oran, Algeria

    Wafaa Batat

  2. Instituto de Física Fundamental, CSIC, Serrano 113-bis, 28006, Madrid, Spain

    P. M. Gadea

  3. Facultade de Matemáticas, Departamento de Xeometría e Topoloxía, Universidade de Santiago de Compostela, A Coruna, Spain

    José A. Oubiña

Authors
  1. Wafaa Batat
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  2. P. M. Gadea
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  3. José A. Oubiña
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Corresponding author

Correspondence to P. M. Gadea .

Editor information

Editors and Affiliations

  1. Departamento de Geometría y Topología, Universidad Complutense de Madrid, Madrid, Spain

    Marco Castrillón López

  2. Physical and Information Technology, Spanish National Research Council (CSIC), Madrid, Spain

    Luis Hernández Encinas

  3. Institute of Fundamental Physics, Spanish National Research Council (CSIC), Madrid, Spain

    Pedro Martínez Gadea

  4. Departamento de Matemática Aplicada, Universidad Politécnica de Madrid, Madrid, Spain

    Mª Eugenia Rosado María

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Batat, W., Gadea, P.M., Oubiña, J.A. (2016). A Survey on Homogeneous Structures on the Classical Hyperbolic Spaces. In: Castrillón López, M., Hernández Encinas, L., Martínez Gadea, P., Rosado María, M. (eds) Geometry, Algebra and Applications: From Mechanics to Cryptography. Springer Proceedings in Mathematics & Statistics, vol 161. Springer, Cham. https://doi.org/10.1007/978-3-319-32085-4_1

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