Convex and Discrete Geometry

Linearly intertwining maps on convex bodies
FWF Project (Award number P 23639)

Principal Investigators

Christoph Haberl
Monika Ludwig

Project Duration

7/2011 - 6/2014 (completed)

Researchers

Lukas Parapatits (7/2011 - 9/2012)
Dan Ma (10/2012 - 6/2014)

Publications

1. Christoph Haberl and Lukas Parapatits:
   The centro-affine Hadwiger theorem.
   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 27, 685-705 (2014).
2. Christoph Haberl and Lukas Parapatits:
   Valuations and surface area measures.
   JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK 687, 225-245 (2014).
3. Richard J. Gardner, Lukas Parapatits and Franz E. Schuster:
   A characterization of Blaschke addition.
   ADVANCES IN MATHEMATICS 254, 396-418 (2014).
4. Dan Ma:
   Asymmetric anisotropic fractional Sobolev norms.
   ARCHIV DER MATHEMATIK (BASEL) 103, 167-175 (2014).
5. Lukas Parapatits:
   SL(n)-covariant L_p-Minkowski valuations.
   JOURNAL OF THE LONDON MATHEMATICAL SOCIETY (2) 89, 397-414 (2014).
6. Lukas Parapatits:
   SL(n)-contravariant L_p-Minkowski valuations.
   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 366, 1195-1211 (2014).
7. Lukas Parapatits and Thomas Wannerer:
   On the inverse Klain map.
   DUKE MATHEMATICAL JOURNAL 162, 1895-1922 (2013).