关键词: 局部对称, 极小子流形, 全测地

Abstract:

 Let N ^n+p be an n+p-dimensional locally symmetric complete Riemannian manifold with sectional curvature K_N satisfies 1/2 < δ ≤ K_N ≤ 1
 and M ⁿ be an n-dimensinal compact minimal submanifold  in N ^n+p. In this paper, we discuss the Pinching theorem about this sub manifold with the square of the length of the second fundamemtal form and Ricci curvature.

Key words: Locally symmetry, Minimal submanifolds, Totally geodesic