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math.DG2026
An almost Kähler Cheeger--Gromoll splitting theorem with applications
Anthony Nguyen, Shengzhen Ning, Lauren Pusey-Nazzaro
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 applicatio…
math.DG2026
Equivariant Morse-Bott cohomology through stabilization
Erkao Bao, Robi Huq, Shengzhen Ning
For closed manifolds with compact Lie group actions, we study Austin-Braam's Morse-theoretic construction of Borel equivariant cohomology using the technique of stabilization. We s…