Toric Einstein 4-manifolds with non-negative sectional curvature
Abstract We prove that $$T^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>T</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> -invariant Einstein metrics with non-negative sectional curvature on a four-manifold are locally symmetric.
Authors
- Tianyue Liu
Institutions
- University of the Sciences (US)
- Peking University (CN)
- University of Pennsylvania (US)
Publication Details
- Journal
- Annals of Global Analysis and Geometry
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1007/s10455-025-09990-3
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00