209 results about "Positive current" patented technology

In mathematics, more particularly in complex geometry, algebraic geometry and complex analysis, a positive current is a positive (n-p,n-p)-form over an n-dimensional complex manifold, taking values in distributions. For a formal definition, consider a manifold M. Currents on M are (by definition) differential forms with coefficients in distributions. ; integrating over M, we may consider currents as "currents of integration", that is, functionals η↦∫Mη∧ρ on smooth forms with compact support.