Relative Yamabe Invariant
Relative Yamabe Invariant
复制标题
相对 Yamabe 不变量
DOI：
10.4310/cag.2002.v10.n5.a2
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
B. Botvinnik
中科院分区：
文献类型：
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作者：
K. Akutagawa;B. Botvinnik
定义了边界上具有给定共形类的光滑流形的相对Yamabe不变量。在空边界的情况下，该不变量与经典的Yamabe不变量一致。我们发展的逼近技术，导致胶合定理的两个流形沿着其边界的相对Yamabe不变。我们表明，有许多例子的流形与积极的和非积极的相对Yamabe不变量。
We define a relative Yamabe invariant of a smooth manifold with given conformal class on its boundary. In the case of empty boundary the invariant coincides with the classic Yamabe invariant. We develop approximation technique which leads to gluing theorems of two manifolds along their boundaries for the relative Yamabe invariant. We show that there are many examples of manifolds with both positive and non-positive relative Yamabe invariants.