AI 中文总结
本文建立完备殆凯勒流形的Cheeger--Gromoll分裂定理的殆凯勒类比，将其应用得到Goldberg型可积性结果，并通过Bangert定理建立辛非双曲性与非负里奇曲率的关联。
AI 中文摘要
本文针对具有非负里奇曲率的完备殆凯勒流形，建立了Cheeger--Gromoll分裂定理的殆凯勒类比。作为应用，利用该分裂得到Goldberg型可积性结果，并通过Bangert定理建立辛非双曲性与非负里奇曲率的关联。
英文摘要
In this paper, we establish an almost Kähler analogue of the Cheeger--Gromoll splitting theorem for complete almost Kähler manifolds with nonnegative Ricci curvature. As applications, we use the splitting to obtain Goldberg-type integrability results and establish a relation between symplectic non-hyperbolicity and nonnegative Ricci curvature via a theorem of Bangert.
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