流形的子空间定理

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2021-01-11 DOI:10.4171/jems/1346

E. Breuillard, Nicolas de Saxc'e

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引用次数: 0

摘要

在度量丢番图近似的背景下，我们证明了一个推广Schmidt子空间定理的定理。为此，我们在齐次动力学的框架下，通过引入和研究对角流的斜率形式和相应的半稳定性概念，重新表述了子空间定理。

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A subspace theorem for manifolds

We prove a theorem that generalizes Schmidt's Subspace Theorem in the context of metric diophantine approximation. To do so we reformulate the Subspace theorem in the framework of homogeneous dynamics by introducing and studying a slope formalism and the corresponding notion of semistability for diagonal flows.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464