In this paper, we give a classification of almost Hermitian metrics with nonpositive holo- morphic bisectional curvature on a product of compact almost complex manifolds. This generalizes previous results of Zheng [An...In this paper, we give a classification of almost Hermitian metrics with nonpositive holo- morphic 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)].展开更多
We prove the Holder continuity of a harmonic map from a domain of a sub-Riemannian manifold into a locally compact manifold with nonpositive curvature,and more generally into a non-positively curved metric space in th...We prove the Holder continuity of a harmonic map from a domain of a sub-Riemannian manifold into a locally compact manifold with nonpositive curvature,and more generally into a non-positively curved metric space in the Alexandrov sense.展开更多
In this paper we discuss the types and criteria of nonoscillatory solutions for the fol-lowing second order neutral functional differential equation with nonpositive coefficients
基金Supported by GDNSF(Grant No.S2012010010038)National Natural Science Foundation of China(Grant No.11001161)the Department of Education of Guangdong Province(Grant No.Yq2013073)
文摘In this paper, we give a classification of almost Hermitian metrics with nonpositive holo- morphic 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)].
基金supported by the CSC Program and NSFC(No.11721101)。
文摘We prove the Holder continuity of a harmonic map from a domain of a sub-Riemannian manifold into a locally compact manifold with nonpositive curvature,and more generally into a non-positively curved metric space in the Alexandrov sense.
文摘In this paper we discuss the types and criteria of nonoscillatory solutions for the fol-lowing second order neutral functional differential equation with nonpositive coefficients