ISSN:
1572-9168
Keywords:
Brenier map
;
Alexandrov-Fenchel inequalies.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We prove that for any two convex open bounded bodies K and T there exists a diffeomorphism f : K → T preserving volume ratio (i.e. with constant determinant of the Jacobian) and such that the Minkowski sum K + T { x + f (x) | x ∈ K }. As an application of this method, we prove some of the Alexandov–Fenchel inequalities.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1005087216335
Permalink