Calculus of Variations and Geometric Measure Theory

S. Mongodi

Positive metric currents and holomorphic chains in Hilbert spaces

created by mongodi on 16 Sep 2012


Submitted Paper

Inserted: 16 sep 2012
Last Updated: 16 sep 2012

Year: 2012


We present some results concerning currents of integration on finite-dimensional analytic spaces in Hilbert spaces, using the setting of metric currents. In particular, we obtain the characterization of such currents as positive closed (k,k)-rectifiable currents and solve the boundary problem for holomorphic chains.