Differential Geometry of Microlinear Frolicher Spaces II

Details Differential Geometry of Microlinear Frolicher Spaces II Differential Geometry of Microlinear Frolicher Spaces II

2010-03-23

arxiv.org/abs/1003.4317v3

Mathematics

Differential Geometry

Scientific paper

In this paper, as the second in our series of papers on differential geometry of microlinear Frolicher spaces, we study differenital forms. The principal result is that the exterior differentiation is uniquely determined geometrically, just as grad (ient), div (ergence) and rot (ation) are uniquely determined geometrically or physically in classical vector calculus. This infinitesimal characterization of exterior differentiation has been completely missing in orthodox differential geometry.

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