关于δ-Pinching流形中具有平行第二基本形式的子流形

On the Submanifolds with Parallel Second Fundamental Form in a δ-Pinching Riemannian Minifold

本文研究了n+p维的δ-Pinching流形Nn+p中具有平行第二基本形式的子流形,获得了这类子流形关于第二基本形式模长平方的一个Pinching定理和积分不等式。

In this paper,we discuss the submanifolds with parallel second fundamental form in a δ-Picnching Riemannian manifold of dimision(n+p).We prove a Pinching theorem about the modula length square of second fundamental form,and obtain some integral inequalities.