Extremal manifolds and Hausdorff dimension

Dickinson, H. and Dodson, M. M. (2000) Extremal manifolds and Hausdorff dimension. Duke Mathematical Journal, 101 (2). pp. 271-281. ISSN 1547-7398

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The recent proof by D. Y. Kleinbock and G. A. Margulis [11] of Sprindžuk’s conjecture for smooth nondegenerate manifolds M means that the set Lv(M) of v-approximable points (this and other terminology is explained below) on M is of zero induced Lebesgue measure. This raises the question of its Hausdorff dimension.

Item Type: Article
Keywords: D. Y. Kleinbock; G. A. Margulis; Hausdorff dimension; Extremal manifolds;
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 1536
Depositing User: Dr. Detta Dickinson
Date Deposited: 14 Sep 2009 14:45
Journal or Publication Title: Duke Mathematical Journal
Publisher: Duke University Press
Refereed: Yes

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