4.2 Article

ON THE RIGIDITY OF WEYL CHAMBER FLOWS AND SCHUR MULTIPLIERS AS TOPOLOGICAL GROUPS

期刊

JOURNAL OF MODERN DYNAMICS
卷 9, 期 -, 页码 25-49

出版社

AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/jmd.2015.9.25

关键词

Local rigidity; group actions; Schur multiplier; cocycles; partial hyperbolicity; homogeneous flows

资金

  1. Division Of Mathematical Sciences
  2. Direct For Mathematical & Physical Scien [1304830] Funding Source: National Science Foundation

向作者/读者索取更多资源

We effectively conclude the local rigidity program for generic restrictions of partially hyperbolic Weyl chamber flows. Our methods replace and extend previous ones by circumventing computations made in Schur multipliers. Instead, we construct a natural topology on H-2(G, Z), and rely on classical Lie structure theory for central extensions.

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