Abstract. Let M be a compact Riemannian manifold without boundary and let E be a Riemannian vector bundle over M . If Σ denotes the sphere subbundle of E, we look for embeddings of Σ into E admitting a prescribed mean curvature.
Abstract. Let (M n , g) be a strictly convex riemannian manifold with C ∞ boundary. We prove the existence of classical solution for the nonlinear elliptic partial differential equation of Monge-Ampère: (x, ∇u; u) in M with a Neumann condition on the boundary of the form ∂u ∂ν
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