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On the Expected Value of the Euler‐Poincaré Characteristic of the Intersection of Two Convex Hypersurfaces
Author(s) -
Lutwak E.
Publication year - 1978
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-17.3.537
Subject(s) - intersection (aeronautics) , mathematics , regular polygon , euler's formula , conjecture , poincaré conjecture , euclidean space , euler characteristic , pure mathematics , value (mathematics) , euclidean geometry , mathematical analysis , combinatorics , geometry , statistics , engineering , aerospace engineering
A proof is given of SantalÓ's conjecture (with a small correction) regarding the least upper bound of the expected value of the Euler‐Poincare characteristic of the intersection of two convex hypersurfaces in Euclidean four‐dimensional space.