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On the Morse Index of Harmonic Maps

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Abstract

In this paper, we are concerned with harmonic maps defined on compact Riemannian manifolds and with values in homogenous strongly harmonic manifolds. We show some results on the Morse index by varying these maps along suitable conformal vector fields.

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Authors and Affiliations

  1. Laboratory of Dynamic Systems and Applications, Faculty of Sciences, Abou Bekr Belkaid University, BP 119, Tlemcen, 13000, Algeria

    Hafida Benallal

  2. Faculty of Sciences, Abou Bekr Belkaid University, BP 119, Tlemcen, 13000, Algeria

    Mohammed Benalili

Authors
  1. Hafida Benallal
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  2. Mohammed Benalili
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All authors wrote the main work text and they reviewed the manuscript.

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Correspondence to Hafida Benallal.

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Benallal, H., Benalili, M. On the Morse Index of Harmonic Maps. Mediterr. J. Math. 20, 327 (2023). https://doi.org/10.1007/s00009-023-02534-8

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  • DOI: https://doi.org/10.1007/s00009-023-02534-8

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