The Cauchy-Kowalevski theorem applied for counting connections with a prescribed Ricci tensor
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Publication:4634113
DOI10.3906/mat-1703-52zbMath1424.35007OpenAlexW2793890167WikidataQ125264757 ScholiaQ125264757MaRDI QIDQ4634113
Barbara Opozda, Włodzimierz M. Mikulski
Publication date: 7 May 2019
Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://ruj.uj.edu.pl/xmlui/handle/item/53890
Cauchy-Kovalevskaya theorems (35A10) Partial differential equations of mathematical physics and other areas of application (35Q99) Local Riemannian geometry (53B20) Linear and affine connections (53B05) Systems of nonlinear higher-order PDEs (35G50)
Related Items (3)
Counting holomorphic connections with a prescribed Ricci tensor ⋮ On the existence of connections with a prescribed skew-symmetric Ricci tensor ⋮ Affine spheres with prescribed Blaschke metric
Cites Work
- 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
- On some properties of the curvature and Ricci tensors in complex affine geometry
- How many Ricci flat affine connections are there with arbitrary torsion?
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