• Bulletin of the Korean Mathematical Society
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• v.50 no.4
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• pp.1261-1275
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• 2013

We establish an integral formula for the first Chern number of a compact almost Hermitian surface and derive curvature identities from the integral formula. Further, we provide some results as applications of the identities.

• Bulletin of the Korean Mathematical Society
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• v.49 no.5
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• pp.1081-1088
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• 2012

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].