Flat norm decomposition of integral currents

  title={Flat norm decomposition of integral currents},
  author={S. Ibrahim and B. Krishnamoorthy and K. Vixie},
  • S. Ibrahim, B. Krishnamoorthy, K. Vixie
  • Published 2016
  • Computer Science, Mathematics
  • ArXiv
  • Currents represent generalized surfaces studied in geometric measure theory. They range from relatively tame integral currents representing oriented compact manifolds with boundary and integer multiplicities, to arbitrary elements of the dual space of differential forms. The flat norm provides a natural distance in the space of currents, and works by decomposing a $d$-dimensional current into $d$- and (the boundary of) $(d+1)$-dimensional pieces in an optimal way. Given an integral current, can… CONTINUE READING

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