OAI/Geometry/RCD/Coordinates/GevreyCutoffConstruction.lean

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Construction of a Euclidean Gevrey cutoff

Convolve the normalized small Gevrey bump with the indicator of the radius-5/2 ball. The resulting function is one on the radius-two ball, vanishes outside radius three, and retains the order-two derivative bound. This constructs the exact cutoff used in the chart iteration.

  1. theorem OAI.RegularPointCoordinates.euclideanGevreyCutoffInput line 23

    Source documentation

    The compact Gevrey input is constructed in every finite dimension.

    theorem euclideanGevreyCutoffInput (n : ℕ) : EuclideanGevreyCutoffInput n := by
    …

    Mentions: OAI.RegularPointCoordinates.EuclideanGevreyCutoffInput