Differentiability of the stable norm in codimension one
نویسندگان
چکیده
منابع مشابه
Differentiability of the stable norm in codimension one Franz Auer
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). Th...
متن کاملDifferentiability of the stable norm in codimension one Franz
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). Th...
متن کامل2 00 4 Differentiability of the stable norm in codimension one
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). Th...
متن کامل7 M ay 2 00 4 Differentiability of the stable norm in codimension one Franz Auer
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). Th...
متن کاملPlane-like minimizers and differentiability of the stable norm
In this paper we investigate the strict convexity and the differentiability properties of the stable norm, which corresponds to the homogenized surface tension for a periodic perimeter homogenization problem (in a regular and uniformly elliptic case). We prove that it is always differentiable in totally irrational directions, while in other directions, it is differentiable if and only if the co...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2006
ISSN: 1080-6377
DOI: 10.1353/ajm.2006.0002