Deformations of constant mean curvature 1/2 surfaces in H2xR with vertical ends at infinity

We think of scalar curvature as a Riemannin incarnation of mean cur- vature (1) and we search for constraints on global geometric invariants of n-spaces X with Sc(X) > 0 that

Proposition 2.1 If Theorem 1.2 holds for constant curvature spheres, it holds for any closed, positively curved, Riemannian, locally symmetric space.. We will proceed by

Here we show under reasonable assumptions that surfaces of large constant mean curvature with boundary included in ∂Ω and meeting ∂Ω orthogonally are nec- essarily located near

FUCHS, A general existence theorem for integral currents with prescribed mean curvature form, in Boll. FEDERGER, The singular set of area minimizing rectifiable

In this section we construct an explicitly known family of surfaces of constant mean curvature which will serve as comparison surfaces to give us... These

The result of Finn cited above presents a natural analogue of that theorem for surfaces of prescribed mean curvature; the present paper in turn extends the result to

boundary can be used to study the relations between the total curvature and the topology of complete, non-compact Riemannian manifolds.. The first results in this

Cover the compact segment v2v3 with a finite number of coordinate rectangles whose coordinate curves are lines of curvature... corresponding to part of the