@article {Thompson:November 1996:0046-5755:159, author = "Thompson A.A.", author = "Thompson A.C.", title = "The Divergence Theorem and the Laplacian in Minkowski Space", journal = "Geometriae Dedicata", volume = "63", year = "November 1996", abstract = "
Let (X,B) be a Minkowski space (finite-dimensional Banach space) with unit ball B. Using a Minkowski definition of unit normal to a hypersurface, a Minkowski analogue of Euclidean divergence is defined. We show that the divergence theorem holds. Using the Minkowski divergence, a Minkowski Laplacian is defined. We prove that this Laplacian is a second-order, constant-coefficient, elliptic, differential operator. Furthermore, the symbol of this Laplacian is computed and used to associate a natural Euclidean structure with (X,B).
", pages = "159-170(12)", url = "http://www.ingentaconnect.com/content/klu/geom/1996/00000063/00000002/00091612" }