Gauss curvature flow: The fate of the rolling stones

Ben Andrews

doi:10.1007/s002220050344

Gauss curvature flow: The fate of the rolling stones

Ben Andrews^*

^*Corresponding author for this work

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

228 Citations (Scopus)

Abstract

We prove Firey's 1974 conjecture that convex surfaces moving by their Gauss curvature become spherical as they contract to points.

Original language	English
Pages (from-to)	151-161
Number of pages	11
Journal	Inventiones Mathematicae
Volume	138
Issue number	1
DOIs	https://doi.org/10.1007/s002220050344
Publication status	Published - 1999

Access to Document

10.1007/s002220050344

Cite this

@article{6d2a698b180a45bca6e7489c27e61c4a,

title = "Gauss curvature flow: The fate of the rolling stones",

abstract = "We prove Firey's 1974 conjecture that convex surfaces moving by their Gauss curvature become spherical as they contract to points.",

author = "Ben Andrews",

year = "1999",

doi = "10.1007/s002220050344",

language = "English",

volume = "138",

pages = "151--161",

journal = "Inventiones Mathematicae",

issn = "0020-9910",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - Gauss curvature flow

T2 - The fate of the rolling stones

AU - Andrews, Ben

PY - 1999

Y1 - 1999

N2 - We prove Firey's 1974 conjecture that convex surfaces moving by their Gauss curvature become spherical as they contract to points.

AB - We prove Firey's 1974 conjecture that convex surfaces moving by their Gauss curvature become spherical as they contract to points.

UR - https://www.scopus.com/pages/publications/0033239066

U2 - 10.1007/s002220050344

DO - 10.1007/s002220050344

M3 - Article

SN - 0020-9910

VL - 138

SP - 151

EP - 161

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

IS - 1

ER -

Gauss curvature flow: The fate of the rolling stones

Abstract

Access to Document

Other files and links

Cite this