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math.DG2015★ 4 cited
Uniqueness of Constant Scalar Curvature Sasakian Metrics
Xishen Jin, Xi Zhang
In this paper, we prove that the transverse Mabuchi K-energy functional is convex along the weak geodesic in the space of Sasakian metrics. As an application, we obtain the uniquen…
math.DG2015
A note of semistable Higgs bundles over compact Kähler manifolds
Yanci Nie, Xi Zhang
In this note, by using the Yang-Mills-Higgs flow, we show that semistable Higgs bundles with vanishing the first and second Chern numbers over compact Käher manifolds must admit a…