Geodesic
Isoperimetric inequalities and identifties for k-dimensional cross-sections of convex bodies.
Mathematische Annalen, Tome 291 (1991) no. 1, pp. 75-86.

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Keywords: volume, convex body, integral formula, Fürstenberg-Tzkoni formula, ellipsoids, affine invariance, affine quermassintegrals 
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     author = {Eric L. Grinberg},
     title = {Isoperimetric inequalities and identifties for k-dimensional cross-sections of convex bodies.},
     journal = {Mathematische Annalen},
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     year = {1991},
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     url = {http://geodesic.mathdoc.fr/item/MAN_1991__291_1_164850/}
}
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Eric L. Grinberg. Isoperimetric inequalities and identifties for k-dimensional cross-sections of convex bodies.. Mathematische Annalen, Tome 291 (1991) no. 1, pp. 75-86. http://geodesic.mathdoc.fr/item/MAN_1991__291_1_164850/