OALib Journal期刊
Lorentzian乘积空间Mn(c)×R1中的双调和类空子流形
, PP. 37-43
Keywords: 双调和 ,类空子流形 ,Lorentzian乘积空间
Abstract:
研究了Lorentzian乘积空间Mn(c)×R1中具有平行平均曲率向量的双调和类空子流形.首先,证明了一般伪黎曼空间中具有平行平均曲率向量的双调和类空子流形的一个不变方程,然后利用该方程得到了Lorentzian乘积空间Mn(c)×R1中类空子流形是双调和的充要条件,并得到了这类子流形极小的充分条件.此外,还证明了一个关于Lorentzian乘积空间Mn(c)×R1中双调和类空超曲面的不存在性结果.
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