2022/06/16 by Naff, Keaton, Zhu, Jonathan J.
#53A10 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2206.08302
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a geodesic ball in hyperbolic space, in any dimension and codimension. In certain cases, we also prove the corresponding estimate in the sphere. Our estimates are analogous to those of Brendle and Hung in the Euclidean setting.