Graph curvature and Laplacian operators form a vibrant area of research at the intersection of differential geometry and graph theory. The concept of graph curvature, inspired by classical Ricci ...

We study a Neumann problem related to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. We prove that in a particular case these graphs ...

We extend the classical existence and uniqueness theory of Jenkins-Serrin (H = 0) and Spruck (H > 0) for the constant mean curvature equation over a domain in R², to domains in H² or S². This theory ...