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The minimal volume of the plane

Published:1993-08 Issue:1 Volume:55 Page:23-40
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Bowditch B. H.

Abstract

AbstractWe give an account of the minimal volume of the plane, as defined by Gromov, and first computed by Bavard and Pansu. We also describe some related geometric inequalities.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference17 articles.

1. Geometric Topology in Dimensions 2 and 3

2. Collapsing Riemannian manifolds while keeping their curvature bounded. I

3. Sur le volume minimal de ${R}\sp 2$

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Asymptotic dimension of planes and planar graphs;Transactions of the American Mathematical Society;2021-08-26

2. Volume bounds of conic 2-spheres;International Journal of Mathematics;2018-02

3. An elementary proof of MinVol(Rn) = 0 for n > 3;Anais da Academia Brasileira de Ciências;2008-12

4. Qubit-qutrit separability-probability ratios;Physical Review A;2005-05-16

5. Silver mean conjectures for 15-dimensional volumes and 14-dimensional hyperareas of the separable two-qubit systems;Journal of Geometry and Physics;2005-01

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