Abstract
The authors try to find necessary and sufficient conditions for the existence of conformal changes of metrics of Riemannian manifolds which implies that the Riemannian manifolds are isometric to spheres. They first obtain a series of integral inequalities in Riemannian manifolds relative to conformal changes of metrics and then find necessary and sufficient conditions under which the Riemannian manifolds are isometric to spheres.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have