We prove that any weakly triholomorphic map from a compact hyperk"{a}hler surface to an algebraic K3 surface defined by a homogeneous polynomial of degree
Consider a compact $n$-manifold $M$ of Ricci curvature bounded below,normalized by $(n-1)H$,where $H=pm 1$ or $0$.Then $M$ is isometric to a $H$-space form
In this paper we study the differential geometric and algebro-geometric properties of the noncollapsing limit in the conical continuity equation which gener