Lorentzian warped products and singularity

被引：5

作者：

Ulanovskii, M

机构：

来源：

GENERAL RELATIVITY AND GRAVITATION | 1999年 / 31卷 / 12期

关键词：

Lorentzian manifold; Ricci form;

D O I：

10.1023/A:1026730604360

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that to any convex function f : R-n --> R there correspond infinitely many geodesically complete metrics ds(2) such that Ric(xi) > 0 for any nonspacelike vector xi. These metrics are constructed as the warped products of the natural metric in R and the inner metric of a convex hyperface (the graph of f) in Rn+1.

引用

页码：1813 / 1820

页数：8