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Metric Diophantine approximation and Hausdorff dimension on manifolds

Published online by Cambridge University Press:  04 October 2011

M. M. Dodson ,
B. P. Rynne  and
J. A. G. Vickers
M. M. Dodson
Affiliation:
Department of Mathematics, University of York, York YO1 5DD
B. P. Rynne
Affiliation:
Faculty of Mathematical Sciences, University of Southampton, Southampton SO9 5NH
J. A. G. Vickers
Affiliation:
Faculty of Mathematical Sciences, University of Southampton, Southampton SO9 5NH
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Extract

In this paper we discuss homogeneous Diophantine approximation of points on smooth manifolds M in ℝk. We begin with a brief survey of the notation and results. For any x,y ∈ℝk, let

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 3 , May 1989 , pp. 547 - 558
Copyright
Copyright © Cambridge Philosophical Society 1989

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