發(fā)布時間：2019-06-21 02:47

【摘要】：設(shè)M是洛倫茲空間L~(n+1)中緊致無邊定向類空等距浸入超曲面.首先得到一類新的積分公式.然后,通過應(yīng)用這些積分公式,證明了:如果存在一個整數(shù)r(1≤r≤n-1)使得高階平均曲率Hi0,i=1,2,…,r,而且Hr是常數(shù),則M是全臍的.
[Abstract]:Let M be a compact and boundless space-like isometric immersion hypersurface in a Lorentz space L ~ (n 1). First of all, a new class of integral formulas is obtained. Then, by applying these integral formulas, it is proved that if there is an integer r (1 鈮，

本文編號：2503726