Abstract:

Let $\ f:M^n$ $\hookrightarrow $ $S^{n+1}$
$\subset $ $R^{n+2}$ be an $n$-dimensional complete oriented
Riemannian manifold minimally immersed in an $(n+1)$-dimensional 
unit sphere $S^{n+1}$. Denote by $S^{n+1}_+$ the upper closed
hemisphere.
If $f(M^n)\subseteq S_{+}^{n+1}$, then under some curvature
conditions the authors can get that the isometric immersion is a totally
embedding. They also generalize a theorem of Li Hai Zhong
 on hypersurface of space form with costant scalar curvature.

Key words: Hypersurface, scalar curvature;space form