On the affine diameter of closed convex hypersurfaces

Weimin Sheng; Neil S. Trudinger

doi:10.1017/s0004972700037837

On the affine diameter of closed convex hypersurfaces

Weimin Sheng^*, Neil S. Trudinger

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper we prove that the affine diameter of any closed uniformly convex hypersurface in Euclidean space enclosing finite volume is bounded from above.

Original language	English
Pages (from-to)	431-437
Number of pages	7
Journal	Bulletin of the Australian Mathematical Society
Volume	68
Issue number	3
DOIs	https://doi.org/10.1017/s0004972700037837
Publication status	Published - Dec 2003

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title = "On the affine diameter of closed convex hypersurfaces",

abstract = "In this paper we prove that the affine diameter of any closed uniformly convex hypersurface in Euclidean space enclosing finite volume is bounded from above.",

author = "Weimin Sheng and Trudinger, \{Neil S.\}",

year = "2003",

month = dec,

doi = "10.1017/s0004972700037837",

language = "English",

volume = "68",

pages = "431--437",

journal = "Bulletin of the Australian Mathematical Society",

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AU - Sheng, Weimin

AU - Trudinger, Neil S.

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N2 - In this paper we prove that the affine diameter of any closed uniformly convex hypersurface in Euclidean space enclosing finite volume is bounded from above.

AB - In this paper we prove that the affine diameter of any closed uniformly convex hypersurface in Euclidean space enclosing finite volume is bounded from above.

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DO - 10.1017/s0004972700037837

M3 - Article

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VL - 68

SP - 431

EP - 437

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 3

ER -

On the affine diameter of closed convex hypersurfaces

Abstract

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