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Bull. Korean Math. Soc. 2013; 50(4): 1261-1275

Printed July 1, 2013

https://doi.org/10.4134/BKMS.2013.50.4.1261

Copyright © The Korean Mathematical Society.

Curvature identities derived from an integral formula for the first Chern number

Jungchan Lee, JeongHyeong Park, and Kouei Sekigawa

Sungkyunkwan University, Sungkyunkwan University, Niigata University

Abstract

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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.

Keywords: Euh-Park-Sekigawa identity, first Chern number, almost Hermitian surface

MSC numbers: 53B20, 53C20

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