Nonpositively curved almost Hermitian metrics on product of compact almost complex manifolds

Authors
Yu, Chengjie
Citation
Yu, Chengjie, Nonpositively curved almost Hermitian metrics on product of compact almost complex manifolds, Acta mathematica Sinica. English series (Print) , 31(1), 2015, pp. 61-70
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
1
Year of publication
2015
Pages
61 - 70
Database
ACNP
SICI code
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)].