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Bull. Korean Math. Soc. 2012; 49(5): 1081-1088
Printed September 30, 2012
https://doi.org/10.4134/BKMS.2012.49.5.1081
Copyright © The Korean Mathematical Society.
A remark concerning universal curvature identities on 4-dimensional Riemannian manifolds
Yunhee Euh, Chohee Jeong, and JeongHyeong Park
Sungkyunkwan University, Sungkyunkwan University, Sungkyunkwan University
We shall prove the universality of the curvature identity for the $4$-dimensional Riemannian manifold using a different method than that used by Gilkey, Park, and Sekigawa [5].
Keywords: generalized Gauss-Bonnet formula, 4-dimensional curvature identity
MSC numbers: Primary 53B20, 53C20
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