most citedA Generalized Maximum Principle for Yau's Square Operator, with Applications to the Steady State Space

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A Generalized Maximum Principle for Yau's Square Operator, with Applications to the Steady State Space

Antonio Caminha, Henrique de Lima

We derive, for the square operator of Yau, an analogue of the Omori-Yau maximum principle for the Laplacian. We then apply it to obtain nonexistence results concerning complete spa…

math.DG2006

Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Products

Antonio Caminha, Henrique F. de Lima

We obtain necessary conditions for the existence of complete vertical graphs of constant mean curvature in the Hyperbolic and Steady State spaces. In the two-dimensional case we pr…