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- Title
A fundamental differential system of Riemannian geometry.
- Authors
Albuquerque, Rui
- Abstract
We discover a fundamental exterior differential system of Riemannian geometry; indeed, an intrinsic and invariant global system of differential forms of degree n associated to any given oriented Riemannian manifold M of dimension n + 1. The framework is that of the tangent sphere bundle of M. We generalise to a Riemannian setting some results from the theory of hypersurfaces in flat Euclidean space. We give new applications and examples of the associated Euler–Lagrange differential systems.
- Subjects
DIFFERENTIAL forms; EXTERIOR differential systems; TANGENT bundles; EULER-Lagrange system; RIEMANNIAN manifolds; RIEMANNIAN geometry
- Publication
Revista Mathematica Iberoamericana, 2019, Vol 35, Issue 7, p2221
- ISSN
0213-2230
- Publication type
Article
- DOI
10.4171/RMI/1118