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The minimal volume of the plane

Part of: Low-dimensional topology Global differential geometry

Published online by Cambridge University Press:  09 April 2009

B. H. Bowditch
B. H. Bowditch
Affiliation:
Faculty of Mathematical Studies, University of Southampton, Highfield, Southampton, SO9 5NH, Great Britain, email: bhb@maths.soton.ac.uk
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Abstract

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We 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.

MSC classification

Secondary: 53C20: Global Riemannian geometry, including pinching 57M50: Geometric structures on low-dimensional manifolds
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 55 , Issue 1 , August 1993 , pp. 23 - 40
Copyright
Copyright © Australian Mathematical Society 1993

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