Divergent trajectories of flows on homogeneous spaces and Diophantine approximations.

DOI10.1515/crll.1985.360.214zbMath0578.22013OpenAlexW4249624809MaRDI QIDQ3699954

Shrikrishna G. Dani

Publication date: 1985

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/152734

zbMATH Keywords

latticeapproximationHausdorff dimensionsystems of linear formsbounded trajectoriesdivergent trajectoriesone-parameter subgroupconnected Lie groupdiophantine

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Dynamics induced by flows and semiflows (37C10) Discrete subgroups of Lie groups (22E40) Diophantine approximation, transcendental number theory (11J99)

Related Items (4)

Metric Diophantine approximation over a local field of positive characteristic ⋮ An extension of quantitative nondivergence and applications to Diophantine exponents ⋮ Expanding translates of curves and Dirichlet-Minkowski theorem on linear forms ⋮ Unique ergodicity on compact homogeneous spaces

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