Dimensional curvature identities in Fedosov geometry

DOI10.1016/j.geomphys.2024.105137arXiv2402.01850WikidataQ128357618 ScholiaQ128357618MaRDI QIDQ6123220

José Navarro Garmendia, Adrián Gordillo-Merino, Raúl Martínez-Bohórquez

Publication date: 4 March 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2402.01850

zbMATH Keywords

Fedosov manifoldsnatural operationsdimensional identities

Mathematics Subject Classification ID

Differential invariants (local theory), geometric objects (53A55) Natural bundles (58A32)

Cites Work

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• Universal curvature identities and Euler-Lagrange formulas for Kähler manifolds
• Universal curvature identities. II.
• Dimensional curvature identities on pseudo-Riemannian geometry
• Universal curvature identities
• Euler-Lagrange formulas for pseudo-Kähler manifolds
• Symplectic curvatue tensors
• Fedosov manifolds
• A simple geometrical construction of deformation quantization
• Curvature and the eigenvalues of the Dolbeault complex for Kaehler manifolds
• A remarkable property of the Riemann-Christoffel tensor in four dimensions
• A curvature identity on a~6-dimensional Riemannian manifold and its applications
• A remark on the invariant theory of real Lie groups
• Uniqueness of the Gauss-Bonnet-Chern formula (after Gilkey-Park-Sekigawa)

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