Blow-up limits of Ricci shrinkers based at Type I scalar curvature points split a line, with smooth convergence in dimension four.
Searching for a Shoreline
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abstract
Logarithmic spirals are conjectured to be optimal escape paths from a half plane ocean. Assuming this, we find the rate of increase for both min-max and min-mean interpretations of "optimal". For the one-dimensional analog, which we call logarithmic coils, our min-mean solution differs from a widely-cited published account.
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math.DG 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
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Geometric Structure of Ends of Ricci Shrinkers
Blow-up limits of Ricci shrinkers based at Type I scalar curvature points split a line, with smooth convergence in dimension four.