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arXiv · 2608.18477

An almost K\"ahler Cheeger--Gromoll splitting theorem with applications

Anthony Nguyen·Shengzhen Ning·Lauren Pusey-Nazzaro
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Abstract

In this paper, we establish an almost K\"ahler analogue of the Cheeger--Gromoll splitting theorem for complete almost K\"ahler 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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BibTeXRIS

Anthony Nguyen, Shengzhen Ning, Lauren Pusey-Nazzaro. 2026-08-19. An almost K\"ahler Cheeger--Gromoll splitting theorem with applications. https://arxiv.org/abs/2608.18477

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