Some semi-Riemannian volume comparison theorems
Some semi-Riemannian volume comparison theorems
复制标题
一些半黎曼体积比较定理
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
Miguel Sánchez Caja
中科院分区：
文献类型：
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作者：
P. Ehrlich;Miguel Sánchez Caja
对于一般半黎曼流形的合适的自然子集，给出了Gunther、Bishop和Bishop- gromov提出的经典黎曼体积比较定理的洛伦兹版本。毕晓普-格罗莫夫案的问题更为微妙，人们对此进行了广泛的讨论。对于一般半黎曼情形，给出并应用了Gunther定理和Bishop定理的局部版本。
Lorentzian versions of classical Riemannian volume comparison theorems by Gunther, Bishop and Bishop-Gromov, are stated for suitable natural subsets of general semi-Riemannian manifolds. The problem is more subtle in the Bishop-Gromov case, which is extensively discussed. For the general semi-Riemannian case, a local version of the Gunther and Bishop theorems is given and applied.