Decomposition of normal currents

Author:
Maciej Zworski

Journal:
Proc. Amer. Math. Soc. **102** (1988), 831-839

MSC:
Primary 49F20; Secondary 53C35

DOI:
https://doi.org/10.1090/S0002-9939-1988-0934852-8

MathSciNet review:
934852

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Abstract: As an answer to a question of Frank Morgan, it is shown that there exist normal currents which cannot be represented as convex integrals of rectifiable currents. However, under certain additional hypotheses, such decompositions exist. Examples are given to indicate that such hypotheses are necessary.

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DOI:
https://doi.org/10.1090/S0002-9939-1988-0934852-8

Article copyright:
© Copyright 1988
American Mathematical Society