We construct complete embedded minimal surfaces in H Ã— R. The first one is a finite total curvature surface which is conformal to S \ {p1, ..., pk}, k â‰¥ 2; the second one is a 1-parameter family ofâ€¦ (More)

In this article we study the shape of a compact surface of constant mean curvature of Euclidean space whose boundary is contained in a round sphere. We consider the case that the boundary isâ€¦ (More)

Let M be an n-dimensional complete simply connected Riemannian manifold with sectional curvature bounded above by a nonpositive constant âˆ’Îº2. Using the cone total curvature TC(Î“) of a graph Î“ whichâ€¦ (More)

Let Î£ be a domain on an m-dimensional minimal submanifold in the outside of a convex set C in S or H. The modified volume M Î£ is introduced by Choe and Gulliver 1992 and we prove a sharp modifiedâ€¦ (More)

For a compact spacelike constant mean curvature surface with nonempty boundary in the threedimensional Lorentzâ€“Minkowski space, we introduce a rotation index of the lines of curvature at the boundaryâ€¦ (More)