12 citations · 18 across the 3 of their papers we have counts for
7 papers
How do difference bodies in complex vector spaces look like? A geometrical approach
Judit Abardia, Eugenia Saorín Gómez
We investigate geometrical properties and inequalities satisfied by the complex difference body, in the sense of studying which of the classical ones for the difference body have a…
Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3
Judit Abardia, Thomas Wannerer
We extend the classical Aleksandrov-Fenchel inequality for mixed volumes to functionals arising naturally in hermitian integral geometry. As a consequence, we obtain Brunn-Minkowsk…
Minkowski valuations in a 2-dimensional complex vector space
Judit Abardia
The classification of continuous, translation invariant Minkowski valuations which are contravariant (or covariant) with respect to the complex special linear group is established…
Difference bodies in complex vector spaces
Judit Abardia
A complete classification is obtained of continuous, translation invariant, Minkowski valuations on an m-dimensional complex vector space which are covariant under the complex spec…
Projection bodies in complex vector spaces
Judit Abardia, Andreas Bernig
The space of Minkowski valuations on an m-dimensional complex vector space which are continuous, translation invariant and contravariant under the complex special linear group is e…
Convexity on Complex Hyperbolic Space
J. Abardia, E. Gallego
In a Riemannian manifold a regular convex domain is said to be -convex if its normal curvature at each point is greater than or equal to . In a Hadamard manifold, the asympto…