On Calabi's diastasis function of the cigar metric

Abstract

We show that the Cigar metric on $\mathbb{C}$ is an example of real analytic Kähler manifold with globally defined and positive Calabi's diastasis function which cannot be Kähler immersed into any (finite or infinite dimensional) complex space form.

12 pages

References in corpus (3)

• New identities for the partial Bell polynomials
• Berezin quantization of homogeneous bounded domains
• Global symplectic coordinates on gradient Kaehler-Ricci solitons

Cited by in corpus (1)

• Immersions of Sasaki-Ricci solitons into homogeneous Sasakian manifolds