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Generalized \({{(\kappa, \mu)}}\)-Space Forms

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Abstract

Generalized \({{(\kappa, \mu)}}\)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.

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Authors and Affiliations

  1. Department of Geometry and Topology Faculty of Mathematics, University of Seville, Apdo. de Correos 1160, 41080, Sevilla, Spain

    Alfonso Carriazo & Verónica Martín Molina

  2. Department of Mathematics, Banaras Hindu University, Varanasi, 221 005, India

    Mukut Mani Tripathi

Authors
  1. Alfonso Carriazo
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  2. Verónica Martín Molina
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  3. Mukut Mani Tripathi
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Corresponding author

Correspondence to Alfonso Carriazo.

Additional information

The first two authors are partially supported by the MICINN grant MTM2011-22621 and the PAI group FQM-327 (Junta de Andalucía Spain). The second one is also supported by the FPU program of the Ministerio de Educacíon, Spain.

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Carriazo, A., Martín Molina, V. & Tripathi, M.M. Generalized \({{(\kappa, \mu)}}\)-Space Forms. Mediterr. J. Math. 10, 475–496 (2013). https://doi.org/10.1007/s00009-012-0196-2

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  • DOI: https://doi.org/10.1007/s00009-012-0196-2

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