A note on the coefficients of Rawnsley's epsilon function of Cartan-Hartogs domains

Abstract

We extend a result of Z. Feng and Z. Tu by showing that if one of the coefficients aj, 2≤ j≤ 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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