Geodesic
BRUNN–MINKOWSKI TYPE INEQUALITIES FOR Lp MOMENT BODIES*
Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 391-398

Voir la notice de l'article provenant de la source Cambridge University Press

About 15 years ago, Lutwak and Zhang (E. Lutwak and G. Zhang, Blaschke–Santalo inequalities, J. Differ. Geom. 47 (1997), 1–16) introduced the notion of Lp moment bodies and established important volume inequalities for them, which were recently generalized by Haberl and Schuster (C. Haberl and E. Schuster, General Lp affine isoperimetric inequalities, J. Differ. Geom. 83 (2009), 1–26). In this paper, we establish new Brunn–Minkowski-type inequalities with respect to Blaschke Lp harmonic addition for the quermassintegrals and dual quermassintegrals of Lp moment bodies.
DOI : 10.1017/S0017089512000638
Mots-clés : 52A40 
ZHU, BAOCHENG; LI, NI; ZHOU, JIAZU. BRUNN–MINKOWSKI TYPE INEQUALITIES FOR Lp MOMENT BODIES*. Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 391-398. doi: 10.1017/S0017089512000638
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