Flat tori in three-dimensional space and convex integration
نویسندگان
چکیده
منابع مشابه
Flat tori in three-dimensional space and convex integration.
It is well-known that the curvature tensor is an isometric invariant of C(2) Riemannian manifolds. This invariant is at the origin of the rigidity observed in Riemannian geometry. In the mid 1950s, Nash amazed the world mathematical community by showing that this rigidity breaks down in regularity C(1). This unexpected flexibility has many paradoxical consequences, one of them is the existence ...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2012
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1118478109