Counting holomorphic connections with a prescribed Ricci tensor

DOI10.17951/a.2023.77.1.25-34zbMath1526.35008WikidataQ130100853 ScholiaQ130100853MaRDI QIDQ6076090

Jan Kurek, Mariusz Plaszczyk, Włodzimierz M. Mikulski

Publication date: 23 October 2023

Published in: Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica (Search for Journal in Brave)

zbMATH Keywords

Ricci tensorholomorphic connectionholomorphic version of the Cauchy-Kowalevski theorem

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Local Riemannian geometry (53B20) Linear and affine connections (53B05) Systems of nonlinear higher-order PDEs (35G50)

Cites Work

• Unnamed Item
• Unnamed Item
• Uniqueness and non-existence of metrics with prescribed Ricci curvature
• Existence of metrics with prescribed Ricci curvature: Local theory
• Connexions à courbure de Ricci donnée
• How many Ricci flat affine connections are there with arbitrary torsion?
• The Cauchy-Kowalevski theorem applied for counting connections with a prescribed Ricci tensor

This page was built for publication: Counting holomorphic connections with a prescribed Ricci tensor