On Calabi's diastasis function of the cigar metric
classification
🧮 math.DG
math.CV
keywords
ahlercalabicigardiastasisfunctionmetricanalyticcannot
read the original abstract
We show that the Cigar metric on $\mathbb{C}$ is an example of real analytic K\"ahler manifold with globally defined and positive Calabi's diastasis function which cannot be K\"ahler immersed into any (finite or infinite dimensional) complex space form.
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