Universal curvature identities

作者：Gilkey P; Park J H^*; Sekigawa K

来源：Differential Geometry and its Applications, 2011, 29(6): 770-778.

DOI：10.1016/j.difgeo.2011.08.005

• Pfaffian
• Gauss-Bonnet
• Euler-Lagrange equations
• Euh-Park-Sekigawa identity

We study scalar and symmetric 2-form valued universal curvature identities. We use this to establish the Gauss-Bonnet theorem using heat equation methods, to give a new proof of a result of Kuz'mina and Labbi concerning the Euler-Lagrange equations of the Gauss-Bonnet integral, and to give a new derivation of the Euh-Park-Sekigawa identity.

• 出版日期2011-12