4 papers · 1 filter
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…
The spaces of Kähler and holomorphically tamed symplectic forms on closed 4-manifolds
Tian-Jun Li, Shengzhen Ning
This paper investigates the uniqueness, connectedness and openness properties of spaces of Kähler forms on closed -manifolds, extending discussions in \cite{Li08,Sal13}. Motivat…
Symplectic log Kodaira dimension , Hirzebruch--Jung strings and weighted projective planes
Tian-Jun Li, Shengzhen Ning
We study symplectic minimal resolutions of weighted projective planes from the perspective of disconnected symplectic divisors with symplectic log Kodaira dime…
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…