Differentiable Manifolds with an Area Measure
- 1 January 1967
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 19, 540-549
- https://doi.org/10.4153/cjm-1967-047-x
Abstract
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∞. LetMdenote a differentiate manifold of dimensionnand call a set ofmlinearly independent vectors{e1,… ,em} at a point ofManm-frame ofM.The setE′of all suchm-frames can be given the structure of a differentiable fibre bundle overMand we denote the projection ofE'ontoMbyπ′.Keywords
This publication has 5 references indexed in Scilit:
- On the Existence of Slices for Actions of Non-Compact Lie GroupsAnnals of Mathematics, 1961
- A theory of transformation groups on generalized spaces and its applications to Finsler and Cartan spaces.Journal of the Mathematical Society of Japan, 1959
- Quelques théorèmes de géométrie différentielle globaleCommentarii Mathematici Helvetici, 1949
- On Finsler Spaces with Completely Integrable Equations of KillingJournal of the London Mathematical Society, 1947
- On the Euclidean Connections in a Finsler SpaceProceedings of the National Academy of Sciences, 1943