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arXiv · 1605.07212

On Calabi's diastasis function of the cigar metric

Andrea Loi·Michela Zedda
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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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Andrea Loi, Michela Zedda. 2016-05-23. On Calabi's diastasis function of the cigar metric. https://doi.org/10.1016/j.geomphys.2016.08.015

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