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 $a_j$, $2\le j\le n$, 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.

6 pp

References in corpus (1)

• Kaehler-Einstein submanifolds of the infinite dimensional projective space