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Generalized Sasakian Space Forms and Conformal Changes of the Metric

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Abstract

The study of generalized Sasakian space forms is continued in this paper. The behavior of such spaces under generalized D-conformal deformations is analyzed. As a consequence, new examples of generalized Sasakian space forms are given.

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Authors and Affiliations

  1. Department of Economics, Quantitative Methods and Economic History, Statistics and Operations Research Area, University Pablo de Olavide, Ctra. de Utrera, km  1, 41013, Sevilla, Spain

    Pablo Alegre

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

    Alfonso Carriazo

Authors
  1. Pablo Alegre
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  2. Alfonso Carriazo
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Correspondence to Alfonso Carriazo.

Additional information

Dedicated to Professor H. Wefelscheid

This paper was finished while the second author was visiting TU Berlin in June 2010. He wants to express his deepest gratitude to the Foundation Dierks von Zweck for financial support, and to Prof. Udo Simon for the warm hospitality received during that visit.

Both authors are partially supported by the PAI group FQM-327 (Junta de Andalucía, Spain, 2010). The second author is also partially supported by the MEC-FEDER grant MTM2007-61248.

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Alegre, P., Carriazo, A. Generalized Sasakian Space Forms and Conformal Changes of the Metric. Results. Math. 59, 485–493 (2011). https://doi.org/10.1007/s00025-011-0115-z

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  • DOI: https://doi.org/10.1007/s00025-011-0115-z

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