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Toric Einstein 4-manifolds with nonnegative sectional curvature

Differential Geometry 2025-07-16 v3

Abstract

We prove that T2T^2-invariant Einstein metrics with non-negative sectional curvature on a four-manifold are locally symmetric.

Keywords

Cite

@article{arxiv.2311.04840,
  title  = {Toric Einstein 4-manifolds with nonnegative sectional curvature},
  author = {Tianyue Liu},
  journal= {arXiv preprint arXiv:2311.04840},
  year   = {2025}
}

Comments

23 pages

R2 v1 2026-06-28T13:15:21.488Z