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.
Calabi's diastasis function; Cigar metric; Kähler immersions; Mathematical physics; Physics and astronomy (all); Geometry and topology
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/232954
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