papers
Publications (27)
math.DG2016
Valuations and curvature measures on complex spaces
Andreas Bernig
math.DG2015
$\mathrm{Spin}(9)$-invariant valuations on the octonionic plane
Andreas Bernig, Floriane Voide
math.DG2008
Integral geometry under $G_2$ and $Spin(7)$
Andreas Bernig
math.MG2002
Non Standard Metric Products
Andreas Bernig, Thomas Foertsch, Viktor Schroeder
math.DG2017
Valuation theory of indefinite orthogonal groups
Andreas Bernig, Dmitry Faifman
math.DG2011
Harmonic analysis of translation invariant valuations
Semyon Alesker, Andreas Bernig, Franz E. Schuster
math.DG2013
Centroid bodies and the convexity of area functionals
Andreas Bernig
math.DG2010
Invariant valuations on quaternionic vector spaces
Andreas Bernig
math.DG2015
Kinematic formulas for tensor valuations
Andreas Bernig, Daniel Hug
math.DG2009
Hilbert geometry of polytopes
Andreas Bernig
math.DG2019
Flag area measures
Judit Abardia-Evéquoz, Andreas Bernig, Susanna Dann
math.DG2011
Algebraic integral geometry
Andreas Bernig
math.DG2013
Integral geometry of complex space forms
Andreas Bernig, Joseph H. G. Fu, Gil Solanes
math.DG2008
A product formula for valuations on manifolds with applications to the integral geometry of the quaternionic line
Andreas Bernig
math.DG2015
Convolution of valuations on manifolds
Semyon Alesker, Andreas Bernig
math.DG2014
Classification of invariant valuations on the quaternionic plane
Andreas Bernig, Gil Solanes
math.DG2010
Hermitian integral geometry
Andreas Bernig, Joseph H. G. Fu
math.DG2017
Dual curvature measures in hermitian integral geometry
Andreas Bernig, Joseph H. G. Fu, Gil Solanes
math.DG2006
Convolution of convex valuations
Andreas Bernig, Joseph H. G. Fu
math.DG2016
Natural operations on differential forms on contact manifolds
Andreas Bernig
math.DG2008
A Hadwiger-type theorem for the special unitary group
Andreas Bernig
math.MG2013
The product on smooth and generalized valuations
Semyon Alesker, Andreas Bernig
math.DG2008
Volume entropy of Hilbert Geometries
Gautier Berck, Andreas Bernig, Constantin Vernicos
math.DG2015
Generalized translation invariant valuations and the polytope algebra
Andreas Bernig, Dmitry Faifman
math.DG2013
The isoperimetrix in the dual Brunn-Minkowski theory
Andreas Bernig
math.DG2011
Projection bodies in complex vector spaces
Judit Abardia, Andreas Bernig
math.DG2017
Kinematic formulas on the quaternionic plane
Andreas Bernig, Gil Solanes