The Weil-Petersson sectional curvature on moduli space is bounded above by a negative constant times the seventh power of the product of small geodesic lengths, with examples indicating the optimal exponent is three.
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The vanishing rate of Weil-Petersson sectional curvatures
The Weil-Petersson sectional curvature on moduli space is bounded above by a negative constant times the seventh power of the product of small geodesic lengths, with examples indicating the optimal exponent is three.