Special Connections on Almost-Multifoliate Riemannian Manifolds.
Luis A. Cordero (1975)
Mathematische Annalen
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Displaying similar documents to “Hitchin' s self-duality equations on complete Riemannian manifolds.”
Special Connections on Almost-Multifoliate Riemannian Manifolds.
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Gudlaugur Thorbergsson (1978)
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Curvature and the equivalence problem in sub-Riemannian geometry
Erlend Grong (2022)
Archivum Mathematicum
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These notes give an introduction to the equivalence problem of sub-Riemannian manifolds. We first introduce preliminaries in terms of connections, frame bundles and sub-Riemannian geometry. Then we arrive to the main aim of these notes, which is to give the description of the canonical grading and connection existing on sub-Riemann manifolds with constant symbol. These structures are exactly what is needed in order to determine if two manifolds are isometric. We give three concrete examples,...