On Calabi's diastasis function of the cigar metric

Published 23 May 2016 in math.DG and math.CV | (1605.07212v1)

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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