Surface area of a convex body under affine transformations
HTML articles powered by AMS MathViewer
- by C. M. Petty PDF
- Proc. Amer. Math. Soc. 12 (1961), 824-828 Request permission
References
- Felix Behrend, Über einige Affininvarianten konvexer Bereiche, Math. Ann. 113 (1937), no. 1, 713–747 (German). MR 1513119, DOI 10.1007/BF01571662
- John W. Green, Length and area of a convex curve under affine transformation, Pacific J. Math. 3 (1953), 393–402. MR 56315
- William Gustin, An isoperimetric minimax, Pacific J. Math. 3 (1953), 403–405. MR 56316
- T. Bonnesen and W. Fenchel, Theorie der konvexen Körper, Chelsea Publishing Co., Bronx, N.Y., 1971 (German). Reissue of the 1948 reprint of the 1934 original. MR 0372748 A. Erdélyi et al., Higher transcendental functions, Bateman Manuscript Project, vol. 2, New York, McGraw-Hill, 1953, pp. 247-248.
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 824-828
- MSC: Primary 52.40; Secondary 52.30
- DOI: https://doi.org/10.1090/S0002-9939-1961-0130618-0
- MathSciNet review: 0130618