Abstract:
The notion of conformal isoperimetric dimension is introduced. For Riemannian manifolds, connections between its conformal isoperimetric dimension and its conformal type are established.
Citation:
V. A. Zorich, V. M. Kesel'man, “Conformal type and isoperimetric dimension of Riemannian manifolds”, Mat. Zametki, 63:3 (1998), 379–385; Math. Notes, 63:3 (1998), 333–337
This publication is cited in the following 4 articles:
V. A. Zorich, V. M. Kesel'man, “The Isoperimetric Inequality on Manifolds of Conformally Hyperbolic Type”, Funct. Anal. Appl., 35:2 (2001), 90–99
V. A. Zorich, V. M. Kesel'man, “A canonical form for the isoperimetric inequality on manifolds of conformally hyperbolic type”, Russian Math. Surveys, 54:3 (1999), 665–666
V. A. Zorich, V. M. Kesel'man, “The conformal type and isoperimetric dimension of sub-Riemannian manifolds”, Russian Math. Surveys, 54:4 (1999), 860–861
Zorich, VA, “Asymptotic geometry and conformal types of Carnot-Caratheodory spaces”, Geometric and Functional Analysis, 9:2 (1999), 393