拟常曲率黎曼流形中的法联络平坦子流形

Submanifolds with flat connection of normal bundle in a Riemannian manifold of quasi constant curvature

研究了拟常曲率黎曼流形中的法联络平坦子流形 ,将常曲率黎曼流形中B .Y .Chen和M .Okumura关于数量曲率和截面曲率关系之间一个著名不等式推广到环绕空间是拟常曲率黎曼流形的情形 .作为应用 ,简捷地将M .

An inequality of B.Y.Chen and M.Okumura in constant curvature Riemannian manifold is generalized to submanifold in a Riemannian manifold of Quasi constant curvature, As an application, the theorems of M.Okumura are generalized and improved.