Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Abardia, Judit"'
Autor:
Abardia, Judit, Gómez, Eugenia Saorín
The difference body operator enjoys different characterization results relying on its basic properties such as continuity, SL(n)-covariance, Minkowski valuation or symmetric image. The Rogers-Shephard and the Brunn-Minkowski inequalities provide uppe
Externí odkaz:
http://arxiv.org/abs/1602.00967
Autor:
Abardia, Judit, Gómez, Eugenia Saorín
Publikováno v:
Communications in Contemporary Mathematics, Vol. 17, No. 4, 1450023, 32 pp., 2015
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 an analog in the complex framework. Among others we give an equivalent
Externí odkaz:
http://arxiv.org/abs/1602.00960
Autor:
Abardia, Judit, Wannerer, Thomas
We extend the classical Aleksandrov-Fenchel inequality for mixed volumes to functionals arising naturally in hermitian integral geometry. As a consequence, we obtain Brunn-Minkowski and isoperimetric inequalities for hermitian quermassintegrals.
Externí odkaz:
http://arxiv.org/abs/1402.6827
Autor:
Abardia, Judit
Publikováno v:
Int. Math. Res. Not., Vol. 2015, No. 5, 1247-1262, 2015
The classification of continuous, translation invariant Minkowski valuations which are contravariant (or covariant) with respect to the complex special linear group is established in a 2-dimensional complex vector space. Every such valuation is given
Externí odkaz:
http://arxiv.org/abs/1306.2137
Autor:
Ahn, Hee-Kap, Abardia, Judit, Bae, Sang Won, Cheong, Otfried, Dann, Susanna, Park, Dongwoo, Shin, Chan-Su
Publikováno v:
In Computational Geometry: Theory and Applications March 2019 77:40-50
Autor:
Abardia, Judit
Publikováno v:
J. Funct. Anal., 263 (2012), 3588--3603
A complete classification is obtained of continuous, translation invariant, Minkowski valuations on an m-dimensional complex vector space which are covariant under the complex special linear group.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/1206.0880
Autor:
Abardia, Judit, Bernig, Andreas
Publikováno v:
Adv. Math. 227 (2011), 830-846
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 explicitly described. Each valuation with these properties is shown to
Externí odkaz:
http://arxiv.org/abs/1101.5927
We compute the measure with multiplicity of the set of complex planes intersecting a compact domain in a complex space form. The result is given in terms of the so-called hermitian intrinsic volumes. Moreover, we obtain two different versions for the
Externí odkaz:
http://arxiv.org/abs/0904.0336
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