Geodesic
Differentiable Manifolds with an Area Measure
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 540-549

Voir la notice de l'article provenant de la source Cambridge University Press

In this section we fix some notations and give a definition of an area measure on a differentiate manifold, where throughout the paper the word differentiable implies differentiability of class C∞. Let M denote a differentiate manifold of dimension n and call a set of m linearly independent vectors {e1, ... , em } at a point of M an m-frame of M. The set E′ of all such m-frames can be given the structure of a differentiable fibre bundle over M and we denote the projection of E' onto M by π′. 
Brickell, F. Differentiable Manifolds with an Area Measure. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 540-549. doi: 10.4153/CJM-1967-047-x
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