3 papers
math.MG2025
Measure transport via pseudo-cones
Rolf Schneider
For the solution of the Gauss image problem for pseudo-cones, which can be considered as a measure transport problem for certain measures on the sphere, we give a new proof, using…
math.MG2025
Pseudo-cones and measure transport
Rolf Schneider
A recent result on the Gauss image problem for pseudo-cones can be interpreted as a measure transport, performed by the reverse radial Gauss map of a pseudo-cone. We find a cost fu…
math.MG2025
The Gauss image problem for pseudo-cones
Rolf Schneider
The Gauss image problem for convex bodies asks for the existence of a convex body that "links" two given measures on the unit sphere in a certain way. We treat here a corresponding…