Notes on the relative Yamabe invariant

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概要

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• The Yamabe invariant [K], [S2] of a closed smooth manifold X is a naturaldifferential-topological invariant which arises from a variational problem for the totalscalar curvature of Riemannian metrics on X. The relative Yamabe invariant [ABl] ofa compact connected smooth manifold W with nonempty boundary is a natural relativeversion of the Yamabe invariant of X. Hence the relative Yamabe invariant has severalfundamental properties analogous to the corresponding ones for the classic Yamabe invariant.In particular, in respect of surgery on X and the interior of W, these two invariantshave quite similar properties. In this article, we give those properties.

• 城西大学の論文

著者

• Akutagawa Kazuo

  Department Of Mathematics Faculty Of Science Kyushu University

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• Notes on the relative Yamabe invariant

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