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Gaussian curvature, mean curvature, sectional curvature, scalar curvature, curvature tensors (Riemann, Ricci, Weyl)

7 votes
3 answers
477 views

Kernel of a non-integrable connection

The Riemann-Hilbert correspondence states that the kernel of an integrable (zero curvature) connection is a local system. … I wonder what happens if the connexion has curvature. $\ker \nabla$ is a well-defined subsheaf of ${\cal O}_X(E)$ ; but is it still a local system of smaller rank ? …
B. Pillet's user avatar