From the class of conformally flat metric of gij=f(|x|^2)δij defined on R^n,where f:[0,∞]→(0,∞)is a C^2 function,we find one class of metrics with positive curvature and two classes of complete metrics with nega...From the class of conformally flat metric of gij=f(|x|^2)δij defined on R^n,where f:[0,∞]→(0,∞)is a C^2 function,we find one class of metrics with positive curvature and two classes of complete metrics with negative curvature.展开更多
文摘From the class of conformally flat metric of gij=f(|x|^2)δij defined on R^n,where f:[0,∞]→(0,∞)is a C^2 function,we find one class of metrics with positive curvature and two classes of complete metrics with negative curvature.