21 citations · 22 across the 4 of their papers we have counts for
4 papers
Lectures on chainlet geometry - new topological methods in geometric measure theory
Jenny Harrison
These draft notes are from a graduate course given by the author in Berkeley during the spring semester of 2005. They cover the basic ideas of a new, geometric approach to geometri…
Ravello lecture notes on geometric calculus -- Part I
Jenny Harrison
In these notes of lectures at the 2004 Summer School of Mathematical Physics in Ravello, Italy, the author develops an approach to calculus in which more efficient choices of limit…
Geometric Hodge Star Operator with Applications to the Theorems of Gauss and Green
Jenny Harrison
The classical divergence theorem for an -dimensional domain and a smooth vector field in -space requires that a normal…
On Plateau's Problem for Soap Films with a Bound on Energy
Jenny Harrison
We prove existence and a.e. regularity of an area minimizing soap film with a bound on energy spanning a given Jordan curve in R^3. The energy of a film is defined to be the sum of…