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On a reverse Petty projection inequality for projections of convex bodies
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D. Alonso-Gutiérrez
Published/Copyright:
April 1, 2014
Abstract
We prove a reverse Petty projection inequality which is satisfied by every convex body K. We also study given a convex body K estimates for the dimension k such that there exists a k-dimensional orthogonal projection of K satisfying a reverse Petty projection inequality in an approximative sense
Published Online: 2014-4-1
Published in Print: 2014-3-1
©2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Masthead
- Geometric structures over non-reductive homogeneous 4-spaces
- On a reverse Petty projection inequality for projections of convex bodies
- Generic properties of homogeneous Ricci solitons
- On the classification of convex lattice polytopes (II)
- Idempotent tropical matrices and finite metric spaces
- Legendre duality on hypersurfaces in Kähler manifolds
- An upper bound on the volume of the symmetric difference of a body and a congruent copy
- Cubic tessellations of the didicosm
- Isometries of complemented sub-Riemannian manifolds
- The isomorphism problem for linear representations and their graphs The isomorphism problem for linear representations and their graphs
- Translation ovoids of unitary polar spaces
