A note on Einstein four-manifolds with positive curvature

作者：Wu, Peng^*

来源：Journal of Geometry and Physics, 2017, 114: 19-22.

DOI：10.1016/j.geomphys.2016.11.017

• Einstein four-manifolds
• Positive sectional curvature
• Weitzenbock formula

In this short note we prove that an oriented Einstein four-manifold with Ric = g and sectional curvature K >= 1/30 (19-root 271) is isometric to (S-4, go) or (CP2, g(FS)) up to rescaling.

• 出版日期2017-4
• 单位复旦大学