Mathematics – Differential Geometry
Scientific paper
2000-08-17
Mathematics
Differential Geometry
24 pages, 5 fig
Scientific paper
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.
Akutagawa Kazuo
Botvinnik Boris
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