Highly Influenced

1 Excerpt

@inproceedings{Auer2006DIFFERENTIABILITYOT, title={DIFFERENTIABILITY OF THE STABLE NORM IN CODIMENSION ONE}, author={Franz Auer and Victor Bangert}, year={2006} }

- Published 2006
DOI:10.1353/ajm.2006.0002

The real homology of a compact, n-dimensional Riemannian manifold M is naturally endowed with the stable norm. The stable norm of a homology class is the minimal Riemannian volume of its representatives. If M is orientable the stable norm on Hn−1(M, R) is a homogenized version of the Riemannian (n−1)-volume. We study the differentiability properties of the stable norm at points α ∈ Hn−1(M, R). They depend on the position of α with respect to the integer lattice Hn−1(M, Z) in Hn−1(M, R). In… CONTINUE READING