Mathematics > Differential Geometry
arXiv:2606.21417 (math)
[Submitted on 19 Jun 2026]
Abstract:We prove that the Ricci flow preserves positive sectional curvature on homogeneous spheres and complex projective spaces. In conjunction with prior results, this completes the classification of which homogeneous spaces have positively curved metrics flowing outside the set of positively curved metrics and which do not.
Submission history
From: Masoumeh Zarei [view email]
[v1]
Fri, 19 Jun 2026 13:35:42 UTC (269 KB)
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