Abstract
In this paper, we give a classification of almost Hermitian metrics with nonpositive holomorphic bisectional curvature on a product of compact almost complex manifolds. This generalizes previous results of Zheng [Ann. of Math. (2), 137(3), 671–673 (1993)] and the author [Proc. Amer. Math. Soc., 139(4), 1469–1472 (2011)].
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Supported by GDNSF (Grant No. S2012010010038), National Natural Science Foundation of China (Grant No. 11001161) and a supporting project from the Department of Education of Guangdong Province (Grant No. Yq2013073)
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Yu, C. Nonpositively curved almost Hermitian metrics on product of compact almost complex manifolds. Acta. Math. Sin.-English Ser. 31, 61–70 (2015). https://doi.org/10.1007/s10114-015-4226-4
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DOI: https://doi.org/10.1007/s10114-015-4226-4