On Calabi's diastasis function of the cigar metric
Differential Geometry
2016-10-12 v1 Complex Variables
Abstract
We show that the Cigar metric on 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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Cite
@article{arxiv.1605.07212,
title = {On Calabi's diastasis function of the cigar metric},
author = {Andrea Loi and Michela Zedda},
journal= {arXiv preprint arXiv:1605.07212},
year = {2016}
}
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12 pages