We show that the Cigar metric on 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.
On Calabi's diastasis function of the Cigar metric
Loi, Andrea
;Zedda, Michela
2016-01-01
Abstract
We show that the Cigar metric on 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.
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