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Geometric Structures over Four-Dimensional Generalized Symmetric Spaces

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Abstract

We classify Walker structures, self-dual and anti-self-dual metrics among the invariant metrics of four-dimensional generalized symmetric spaces.

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Prov. Lecce-Arnesano, 73100, Lecce, Italy

    Giovanni Calvaruso

  2. Institute of Advanced Studies, University of Payame-Noor, Noorian St., North Dibaji, Farmanieh Tehran, Iran

    Amirhesam Zaeim

Authors
  1. Giovanni Calvaruso
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  2. Amirhesam Zaeim
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Correspondence to Giovanni Calvaruso.

Additional information

First author partially supported by funds of the University of Salento and GNSAGA (Italy).

This work was prepared during the stay of the second author at the University of Salento.

The second author wishes to thank the Department of Mathematics of the University of Salento for the hospitality.

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Calvaruso, G., Zaeim, A. Geometric Structures over Four-Dimensional Generalized Symmetric Spaces. Mediterr. J. Math. 10, 971–987 (2013). https://doi.org/10.1007/s00009-012-0228-y

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  • DOI: https://doi.org/10.1007/s00009-012-0228-y

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