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math.DG2013
Minimal graphic functions on manifolds of non-negative Ricci curvature
Qi Ding, J. Jost, Y. L. Xin
We study minimal graphic functions on complete Riemannian manifolds $\Si$ with non-negative Ricci curvature, Euclidean volume growth and quadratic curvature decay. We derive global…
math.DG2013
Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature
Qi Ding, J. Jost, Y. L. Xin
We study minimal hypersurfaces in manifolds of non-negative Ricci curvature, Euclidean volume growth and quadratic curvature decay at infinity. By comparison with capped spherical…