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math.DG2014
Rigidity theorems of complete Kähler-Einstein manifolds and complex space forms
Tian Chong, Yuxin Dong, Hezi Lin +1
We derive some elliptic differential inequalities from the Weitzenböck formulas for the traceless Ricci tensor of a Kähler manifold with constant scalar curvature and the Bochner t…
math.DG2014
Unstability of pseudoharmonic maps between pseudo-Hermitian manifolds
Tian Chong, Yuxin Dong, Yibin Ren
In this paper, we derive the second variation formula of pseudoharmonic maps into any pseudo-Hermitian manifolds. When the target manifold is an isometric embedded CR manifold in c…