Dedicated to Prof. Peter M. Gruber on the occasion of his sixty-fifth birthday All GL(n) covariant Lp radial valuations on convex polytopes are classified for every p> 0. It is shown that for 0 < p < 1 there is a unique non-trivial such valuation with centrally symmetric images. This establishes a characterization of Lp intersection bodies
AbstractWe prove that the convex intersection bodies are isomorphically equivalent to unit balls of ...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
The covariogram of a compact subset A of R(n) is the function that to each x associates the volume ...
Parapatits All continuous SL(n)-covariant Lp-Minkowski valuations defined on convex bodies are compl...
AbstractWe extend the classical Brunn theorem to symmetric moments of convex bodies and use it to pr...
AbstractWe extend the classical Brunn theorem to symmetric moments of convex bodies and use it to pr...
Abstract. We extend the classical Brunn theorem to symmetric moments of convex bodies and use it to ...
Projection and intersection bodies define continuous and GL(n) contravariant valuations. They played...
AbstractProjection and intersection bodies define continuous and GL(n) contravariant valuations. The...
Abstract. The 1956 Busemann-Petty problem asks whether symmetric convex bodies with larger central h...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
AbstractBasic relations and analogies between intersection bodies and their symmetric and nonsymmetr...
AbstractBasic relations and analogies between intersection bodies and their symmetric and nonsymmetr...
AbstractWe prove that the convex intersection bodies are isomorphically equivalent to unit balls of ...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
The covariogram of a compact subset A of R(n) is the function that to each x associates the volume ...
Parapatits All continuous SL(n)-covariant Lp-Minkowski valuations defined on convex bodies are compl...
AbstractWe extend the classical Brunn theorem to symmetric moments of convex bodies and use it to pr...
AbstractWe extend the classical Brunn theorem to symmetric moments of convex bodies and use it to pr...
Abstract. We extend the classical Brunn theorem to symmetric moments of convex bodies and use it to ...
Projection and intersection bodies define continuous and GL(n) contravariant valuations. They played...
AbstractProjection and intersection bodies define continuous and GL(n) contravariant valuations. The...
Abstract. The 1956 Busemann-Petty problem asks whether symmetric convex bodies with larger central h...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
AbstractBasic relations and analogies between intersection bodies and their symmetric and nonsymmetr...
AbstractBasic relations and analogies between intersection bodies and their symmetric and nonsymmetr...
AbstractWe prove that the convex intersection bodies are isomorphically equivalent to unit balls of ...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
The covariogram of a compact subset A of R(n) is the function that to each x associates the volume ...