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Suppose $M$ is a rotationally symmetric convex set in $\mathbb{R}^3$ with two different metric $g$ and $\delta$ (the standard Euclidean …

In this paper, we consider a Generalized Bernstein Theorem for a type of generalized minimal surfaces, namely minimal Plateau surfaces. …

We prove a comparison theorem for certain types of polyhedra in a 3-manifold with its scalar curvature bounded below by -6. The result …

The conformal structure on minimal surfaces plays a key role in studying the properties of minimal surfaces. Here we extend the results …

In this paper, we will compute the Morse index and nullity for the stationary embedded networks in spheres. The key theorem in the …