Dickinson, H. and Dodson, M. M.
Extremal manifolds and Hausdorff dimension.
Duke Mathematical Journal, 101 (2).
The recent proof by D. Y. Kleinbock and G. A. Margulis 
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.
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