The fundamental theorem of geometric calculus via a generalized Riemann integral

Details The fundamental theorem of geometric calculus via a generalized Riemann integral The fundamental theorem of geometric calculus via a generalized Riemann integral

1998-07-06

arxiv.org/abs/math/9807024v1

Mathematics

Differential Geometry

To appear in Advances in Applied Clifford Algebras

Scientific paper

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.

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