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Monotonicity of the Yamabe invariant under connect sum over the boundary
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Schwartz, Fernando (2009) Monotonicity of the Yamabe invariant under connect sum over the boundary. Annals of Global Analysis and Geometry, Vol.35 (No.2). pp. 115-131. doi:10.1007/s10455-008-9125-9 ISSN 0232-704X.
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Official URL: http://dx.doi.org/10.1007/s10455-008-9125-9
Abstract
We show that the Yamabe invariant of manifolds with boundary satisfies a monotonicity property with respect to connected sums along the boundary, similar to the one in the closed case. A consequence of our result is that handlebodies have maximal invariant.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Annals of Global Analysis and Geometry | ||||
Publisher: | Springer | ||||
ISSN: | 0232-704X | ||||
Official Date: | April 2009 | ||||
Dates: |
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Volume: | Vol.35 | ||||
Number: | No.2 | ||||
Number of Pages: | 17 | ||||
Page Range: | pp. 115-131 | ||||
DOI: | 10.1007/s10455-008-9125-9 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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