Vector Analysis on Sobolev Spaces

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概要

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• (∞-p)-forms on a k-th Sobolev space Wk(X), X a compact (spin) manifold, is defined by using Sobolev duality. Integrals of (∞-p)-forms on a cube in Wk(X) are defined without using measure. It is shown that exterior differentiability of an (∞-p) -form is astrong constraint and an exterior differentiable (∞-p)-form is always globally exact. As a consequence, the exterior differential operator d is not nilpotent when acting on the space of (∞-p)-forms. Stokes' Theorem for the integrals of (∞-p)-forms is also shown.

• 信州大学の論文

著者

• Asada A

  Osaka City Univ. Medical School Osaka Jpn

関連論文

• Vector Analysis on Sobolev Spaces

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