Curvature identities derived from the integral formula for the first Pontrjagin number |
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| Authors: | Yunhee Euh JeongHyeong Park Kouei Sekigawa |
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| Institution: | 1. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea;2. Department of Mathematics, Niigata University, Niigata 950-2181, Japan |
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| Abstract: | We give an integral formula for the first Pontrjagin number of a compact almost Hermitian surface and derive curvature identities from the integral formula based on the fundamental fact that the first Pontrjagin number in the deRham cohomology group is a topological invariant. Further, we provide some applications of the identities. |
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| Keywords: | Euh–Park–Sekigawa identity First Pontrjagin number Almost Hermitian surface Kähler surface |
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