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A note on the coefficients of Rawnsley’s epsilon function of Cartan–Hartogs domains

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Abstract

We extend the result of Feng and Tu (Math Z 278:(1–2):301–320, 2014) by showing that if one of the coefficients \(a_j\), \(2\le j\le n\), of Rawnlsey’s epsilon function associated to a \(n\)-dimensional Cartan–Hartogs domain is constant, then the domain is biholomorphically equivalent to the complex hyperbolic space.

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Authors and Affiliations

  1. Dipartimento di Matematica “G. Peano”, Università di Torino, Turin, Italy

    Michela Zedda

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  1. Michela Zedda
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Correspondence to Michela Zedda.

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Communicated by Vicente Cortés.

The author was supported by the project FIRB “Geometria Differenziale e teoria geometrica delle funzioni” and by INdAM-GNSAGA - Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni.

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Zedda, M. A note on the coefficients of Rawnsley’s epsilon function of Cartan–Hartogs domains. Abh. Math. Semin. Univ. Hambg. 85, 73–77 (2015). https://doi.org/10.1007/s12188-014-0101-y

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  • DOI: https://doi.org/10.1007/s12188-014-0101-y

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