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arXiv · 1703.02918

Non-Kahler Ricci flow singularities modeled on Kahler-Ricci solitons

James Isenberg·Dan Knopf·Natasa Sesum
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Abstract

We investigate Riemannian (non-Kahler) Ricci flow solutions that develop finite-time Type-I singularities and present evidence in favor of a conjecture that parabolic rescalings at the singularities converge to singularity models that are shrinking Kahler-Ricci solitons. Specifically, the singularity model for these solutions is expected to be the "blowdown soliton" discovered in [FIK03]. Our partial results support the conjecture that the blowdown soliton is stable under Ricci flow, as well as the conjectured stability of the subspace of Kahler metrics under Ricci flow.

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James Isenberg, Dan Knopf, Natasa Sesum. 2019-03-05. Non-Kahler Ricci flow singularities modeled on Kahler-Ricci solitons. https://arxiv.org/abs/1703.02918

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