Some new Brunn-Minkowski-type inequalities in convex bodies.
Zhao, Chang-Jian, Leng, Gangsong, Debnath, Lokenath (2005)
International Journal of Mathematics and Mathematical Sciences
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Zhao, Chang-Jian, Leng, Gangsong, Debnath, Lokenath (2005)
International Journal of Mathematics and Mathematical Sciences
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Lin, Si, Bin, Xiong, Wuyang, Yu (2006)
Journal of Inequalities and Applications [electronic only]
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Gardner, R.J., Koldobsky, A., Schlumprecht, T. (1999)
Annals of Mathematics. Second Series
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Yuan, Jun, Leng, Gangsong (2006)
Journal of Inequalities and Applications [electronic only]
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Yu, Wuyang (2009)
Journal of Inequalities and Applications [electronic only]
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Fradelizi, Matthieu (1999)
Beiträge zur Algebra und Geometrie
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Martini, Horst, Mustafaev, Zokhrab (2010)
Journal of Inequalities and Applications [electronic only]
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Zhang, Gaoyong (1999)
Annals of Mathematics. Second Series
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Jentsch, Lothar, Natroshvili, David (1999)
Memoirs on Differential Equations and Mathematical Physics
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Lindquist, Norman F. (1975)
Portugaliae mathematica
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Mustafaev, Zokhrab (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Böröczky, Károly jun. (1996)
Mathematica Pannonica
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Christoph Haberl (2012)
Journal of the European Mathematical Society
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All continuous Minkowski valuations which are compatible with the special linear group are completely classified. One consequence of these classifications is a new characterization of the projection body operator.
Paul Goodey (2009)
Banach Center Publications
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We survey results concerning the extent to which information about a convex body's projections or sections determine that body. We will see that, if the body is known to be centrally symmetric, then it is determined by the size of its projections. However, without the symmetry condition, knowledge of the average shape of projections or sections often determines the body. Rather surprisingly, the dimension of the projections or sections plays a key role and exceptional cases do occur...
David G. Larman (2009)
Banach Center Publications
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The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.