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math.DG2026
Obata-type equations under the Bakry-Émery Ricci curvature conditions
Mijia Lai, Yiwei Liu
In this paper, based on the warped product structures determined by the Obata-type equations with Robin boundary condition, we establish some rigidity results for compact manifolds…
math.DG2012★ 3 cited
Convergence of general inverse -flow on Kähler manifolds with Calabi Ansatz
Hao Fang, Mijia Lai
We study the convergence behavior of the general inverse -flow on Kähler manifolds with initial metrics satisfying the Calabi Ansatz. The limiting metrics can be either smooth…
math.DG2012★ 3 cited
On the geometric flows solving Kählerian inverse equations
Hao Fang, Mijia Lai
In this note, we extend our previous work on the inverse problem. Inverse problem is a fully nonlinear geometric PDE on compact Kähler manifolds. Given a proper geome…