刊物主题:Differential Geometry; Convex and Discrete Geometry; Fourier Analysis; Abstract Harmonic Analysis; Dynamical Systems and Ergodic Theory; Global Analysis and Analysis on Manifolds;
出版者:Springer US
ISSN:1559-002X
卷排序:27
文摘
We show the existence and nonexistence results of complete conformal metrics with prescribed symmetric functions of the eigenvalues of the Ricci tensor defined on negative cones on Euclidean spaces. Our results are sharp under certain decay conditions of the prescribed curvature functions.