Existence of complete conformal metrics of negative Ricci curvature on manifolds with boundary
نویسندگان
چکیده
منابع مشابه
Existence of Complete Conformal Metrics of Negative Ricci Curvature on Manifolds with Boundary
We show that on a compact Riemannian manifold with boundary there exists u ∈ C(M) such that, u|∂M ≡ 0 and u solves the σk-Ricci problem. In the case k = n the metric has negative Ricci curvature. Furthermore, we show the existence of a complete conformally related metric on the interior solving the σk-Ricci problem. By adopting results of [14], we show an interesting relationship between the co...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2010
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-010-0352-0