A Curvature Identity on a 4-Dimensional Riemannian Manifold

作者：Euh Yunhee^*; Park JeongHyeong; Sekigawa Kouei

来源：Results in Mathematics, 2013, 63(1-2): 107-114.

DOI：10.1007/s00025-011-0164-3

• Generalized Gauss-Bonnet formula
• 3-dimensional curvature identity

We recall a curvature identity for 4-dimensional compact Riemannian manifolds as derived from the generalized Gauss-Bonnet formula. We extend this curvature identity to non-compact 4-dimensional Riemannian manifolds. We also give some applications of this curvature identity.

• 出版日期2013-2