L. Ambrosio, B. Kirchheim:
Rectifiable Sets in Metric and Banach Spaces
Submitted to Math. Annalen.  () 1999

L. Ambrosio, B. Kirchheim:
Currents in Metric Spaces
Acta Mathematica N. 185, p. 1-80, 2000

L. Ambrosio, B. Kirchheim, M. Lecumberry, T. Rivière:
On the rectifiability of defect measures arising in a micromagnetics model
p. 29-60, 2002

B. Kirchheim, V. Magnani:
A counterexample to metric differentiability
Proc. Ed. Math. Soc.  Vol. 46, p. 221-227, 2003

B. Kirchheim, F. Serra Cassano:
Rectifiability and parametrization of intrinsic regular surfaces in the Heisenberg group
Ann. Scuola Norm.Sup. Pisa Cl.Sci. (5) Vol. III, p. 871-896, 2004

L. Ambrosio, B. Kirchheim, A. Pratelli:
Existence of optimal transport maps for crystalline norms
Duke Math. J. Vol. 125, N. 2, p. 207-241, 2004

L. Ambrosio, G. De Philippis, B. Kirchheim:
Regularity of optimal transport maps and partial differential inclusions
Rend. Lincei - Mat. e Appl. () 2011

C. De Lellis, G. De Philippis, B. Kirchheim, R. Tione:
Geometric measure theory and differential inclusions
Annales de la Faculte' des Sciences de Toulouse 2019