1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DG2018
Calabi problem for manifolds with edge-cone singularities
S. Ali Aleyasin
In this note, we propose a new approach to solving the Calabi problem on manifolds with edge-cone singularities of prescribed angles along complex hypersurfaces. It is shown how th…
math.DG2013
The space of Kähler potentials on an asymptotically locally euclidean Kähler manifold
S. Ali Aleyasin
In this note, we shall prove geodesic convexity of the space of Kähler potentials on an ALE Kähler manifold. This extends earlier results in the compact case proved in the fundamen…
math.DG2013★ 1 cited
On the Geodesics in the space of Kähler metrics with prescribed singularities
S. Ali Aleyasin, Xiuxiong Chen
Motivated by the results of B. Berndtsson, in this memoir we use the new estimates developed by W. He to extend a theorem of the second author on the existence of weak ge…