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Energy functionals on almost Kähler manifolds: I
Ken Wang, Zuyi Zhang, Jiuru Zhou
In this paper, we consider the Donaldson gauge functional and the twisted Aubin functionals on almost Kähler manifolds. As in Kähler geometry, we generalize the inequality between…
harmonic 1-forms on complete non-compact smooth metric measure spaces
Jiuru Zhou, Peng Zhu
This paper studies complete non-compact smooth metric measure space with positive first spectrum or satisfying a weighted Poincaré i…
harmonic 1-forms on smooth metric measure spaces with positive
Jiuru Zhou
In this paper, we study vanishing and splitting results on a complete smooth metric measure space with various negative -Bakry-Émery-Ricci c…
Direct sum for basic cohomology of codimension four taut Riemannian foliation
Jiuru Zhou
We discuss the decomposition of degree two basic cohomology for codimension four taut Riemannian foliation according to the holonomy invariant transversal almost complex structure…
Ancient solutions for Andrews' hypersurface flow
Peng Lu, Jiuru Zhou
We construct the ancient solutions of the hypersurface flows in Euclidean spaces studied by B. Andrews in 1994. As time the solutions collapse to a round point…
On tamed almost complex four manifolds
Qiang Tan, Hongyu Wang, Jiuru Zhou +1
This paper proves that on any tamed closed almost complex four-manifold whose dimension of -anti-invariant cohomology is equal to the self-dual second Betti number minus…