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- Busemann–Petty_problem abstract "In the mathematical field of convex geometry, the Busemann–Petty problem, introduced by Herbert Busemann and Clinton Myers Petty (1956, problem 1), asks whether it is true that a symmetric convex body with larger central hyperplane sections has larger volume. More precisely, if K, T are symmetric convex bodies in Rn such thatfor every hyperplane A passing through the origin, is it true that Voln K ≤ Voln T?Busemann and Petty showed that the answer is positive if K is a ball. In general, the answer is positive in dimensions at most 4, and negative in dimensions at least 5.".
- Busemann–Petty_problem wikiPageID "33294058".
- Busemann–Petty_problem wikiPageRevisionID "569517166".
- Busemann–Petty_problem author2Link "Claude Ambrose Rogers".
- Busemann–Petty_problem author2Link "Clinton Myers Petty".
- Busemann–Petty_problem authorlink "Herbert Busemann".
- Busemann–Petty_problem b "n".
- Busemann–Petty_problem doi "10.2307".
- Busemann–Petty_problem first "A.".
- Busemann–Petty_problem first "Claude Ambrose".
- Busemann–Petty_problem first "Clinton Myers".
- Busemann–Petty_problem first "Herbert".
- Busemann–Petty_problem first "Richard J.".
- Busemann–Petty_problem first "T.".
- Busemann–Petty_problem issn "3".
- Busemann–Petty_problem issue "2".
- Busemann–Petty_problem journal Annals_of_Mathematics.
- Busemann–Petty_problem last "Busemann".
- Busemann–Petty_problem last "Gardner".
- Busemann–Petty_problem last "Koldobsky".
- Busemann–Petty_problem last "Larman".
- Busemann–Petty_problem last "Petty".
- Busemann–Petty_problem last "Rogers".
- Busemann–Petty_problem last "Schlumprecht".
- Busemann–Petty_problem loc "problem 1".
- Busemann–Petty_problem mr "1689343".
- Busemann–Petty_problem p "p".
- Busemann–Petty_problem pages "691".
- Busemann–Petty_problem title "An analytic solution to the Busemann-Petty problem on sections of convex bodies".
- Busemann–Petty_problem volume "149".
- Busemann–Petty_problem year "1956".
- Busemann–Petty_problem year "1975".
- Busemann–Petty_problem year "1999".
- Busemann–Petty_problem subject Category:Convex_geometry.
- Busemann–Petty_problem comment "In the mathematical field of convex geometry, the Busemann–Petty problem, introduced by Herbert Busemann and Clinton Myers Petty (1956, problem 1), asks whether it is true that a symmetric convex body with larger central hyperplane sections has larger volume. More precisely, if K, T are symmetric convex bodies in Rn such thatfor every hyperplane A passing through the origin, is it true that Voln K ≤ Voln T?Busemann and Petty showed that the answer is positive if K is a ball.".
- Busemann–Petty_problem label "Busemann–Petty problem".
- Busemann–Petty_problem sameAs Busemann%E2%80%93Petty_problem.
- Busemann–Petty_problem sameAs Q5001330.
- Busemann–Petty_problem sameAs Q5001330.
- Busemann–Petty_problem wasDerivedFrom Busemann–Petty_problem?oldid=569517166.