Counting holomorphic connections with a prescribed Ricci tensor

Jan Kurek, Włodzimierz Mikulski, Mariusz Plaszczyk

Abstract


How many holomorphic connections are there with a prescribed Ricci tensor? How many torsion-free holomorphic connections are there with a prescribed Ricci tensor? These questions are answered by using the holomorphic version of the Cauchy–Kowalevski theorem.

Keywords


Holomorphic connection; Ricci tensor; holomorphic version of the Cauchy-Kowalevski theorem

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References


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DOI: http://dx.doi.org/10.17951/a.2023.77.1.25-34
Date of publication: 2023-09-30 21:35:45
Date of submission: 2023-09-26 21:22:15


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