Convex and Discrete Geometry

Privatdozent Dr. Christoph Haberl

Preprints

Publications

• Complex Affine Isoperimetric Inequalities.
  CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 58, no. 5, Art. 169 (2019).


• Affine vs. Euclidean Isoperimetric Inequalities.
  ADVANCES IN MATHEMATICS 356, 106811, 26 pp (2019).
  Jointly with F. Schuster.


• Centro-affine tensor valuations.
  ADVANCES IN MATHEMATICS 316, 806-865 (2017).
  Jointly with L. Parapatits.


• Moments and valuations.
  AMERICAN JOURNAL OF MATHEMATICS 138, 1575-1603 (2016).
  Jointly with L. Parapatits.


• The centro-affine Hadwiger theorem.
  JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 27, 685-705 (2014).
  Jointly with L. Parapatits.


• Valuations and surface area measures.
  JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK 687, 225-245 (2014).
  Jointly with L. Parapatits.


• Minkowski valuations intertwining the special linear group.
  JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 14, 1565-1597 (2012).


• An asymmetric affine Pólya-Szegö principle.
  MATHEMATISCHE ANNALEN 352, 517-542 (2012).
  Jointly with F. Schuster and J. Xiao.


• Blaschke valuations.
  AMERICAN JOURNAL OF MATHEMATICS 133, 717-751 (2011).
  


• The even Orlicz Minkowski problem.
  ADVANCES IN MATHEMATICS 224, 2485-2510 (2010).
  Jointly with E. Lutwak, D. Yang and G. Zhang.


• Star body valued valuations.
  INDIANA UNIVERSITY MATHEMATICS JOURNAL 58, 2253-2276 (2009).


• Asymmetric affine L_p Sobolev inequalities.
  JOURNAL OF FUNCTIONAL ANALYSIS 257, 641-658 (2009).
  Jointly with F. Schuster


• General L_p affine isoperimetric inequalities.
  JOURNAL OF DIFFERENTIAL GEOMETRY 83, 1-26 (2009).
  Jointly with F. Schuster


• L_p intersection bodies.
  ADVANCES IN MATHEMATICS 217, 2599-2624 (2008).
  


• A characterization of L_p intersection bodies.
  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, Art ID 10548, 29 pages (2006).
  Jointly with M. Ludwig.