The fundamental theorem of geometric calculus via a generalized Riemann integral
Macdonald, Alan
arXiv, 9807024 / Harvested from arXiv
Text on arXiv
Using recent advances in integration theory, we give a proof of the fundamental theorem of geometric calculus. We assume only that the tangential derivative $\nabla_VF$ exists and is Lebesgue integrable. We also give sufficient conditions that $\nabla_VF$ exists.
Publié le : 1998-07-05
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  58C35 
@article{9807024,
     author = {Macdonald, Alan},
     title = {The fundamental theorem of geometric calculus via a generalized Riemann
  integral},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807024}
}

Macdonald, Alan. The fundamental theorem of geometric calculus via a generalized Riemann
  integral. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807024/