Rigidity of the Stable Norm on Tori
Given a closed, orientable Riemannian manifold, we study the stable norm on the real homology groups. In particular, for n≥ 2 we prove that a Riemannian n-torus, which has the same stable norms as a flat n-torus on the first and n-1 homology groups, is in fact isometric to the flat torus.
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| Format: | Digital revista |
| Language: | English |
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Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2010
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| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262010000100002 |
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