In this paper, Calabi diastasis function theoretical ideas, together with the geometric theory of coherent states, are applied in order to work out useful identities applicable to the Sato-Segal-Wilson grassmannian and to Qullen's space of d-bar operators. Calabi-type rigidity theorems and relsolution of singularities for are discussed as well.
Spera, M., Valli, G., Remarks on Calabi's diastasis function and coherent states, <<QUARTERLY JOURNAL OF MATHEMATICS>>, 1993; 44 (2): 497-512 [http://hdl.handle.net/10807/35630]
Remarks on Calabi's diastasis function and coherent states
Spera, Mauro;
1993
Abstract
In this paper, Calabi diastasis function theoretical ideas, together with the geometric theory of coherent states, are applied in order to work out useful identities applicable to the Sato-Segal-Wilson grassmannian and to Qullen's space of d-bar operators. Calabi-type rigidity theorems and relsolution of singularities for are discussed as well.
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