An example of complete Riemannian metric of positive (or nonnagative) curvature on Resuch as aam = a(x)dx' is obtained by direct caculations. Furthermore, by using a geodesic convex condition and a theorem for com...An example of complete Riemannian metric of positive (or nonnagative) curvature on Resuch as aam = a(x)dx' is obtained by direct caculations. Furthermore, by using a geodesic convex condition and a theorem for complete noncompact Riemannian manifold, an existence resultof periodic solution of prescribed energy for a singular Handltonian system is also obtained.展开更多
文摘An example of complete Riemannian metric of positive (or nonnagative) curvature on Resuch as aam = a(x)dx' is obtained by direct caculations. Furthermore, by using a geodesic convex condition and a theorem for complete noncompact Riemannian manifold, an existence resultof periodic solution of prescribed energy for a singular Handltonian system is also obtained.
