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arXiv · 2606.21417

Ricci Flow Preserves Positive Sectional Curvature on Homogeneous Spheres

Jason DeVito·David González-Álvaro·Masoumeh Zarei
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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.

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Jason DeVito, David González-Álvaro, Masoumeh Zarei. 2026-06-19. Ricci Flow Preserves Positive Sectional Curvature on Homogeneous Spheres. https://arxiv.org/abs/2606.21417

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