Actions of noncompact semisimple groups on Lorentz manifolds

作者：Deffaf Mohamed^*; Melnick Karin; Zeghib Abdelghani

来源：Geometric and Functional Analysis, 2008, 18(2): 463-488.

DOI：10.1007/s00039-008-0659-6

• Lorentz isometry
• Lorentz manifold
• de Sitter space
• Minkowski space
• anti-de Sitter space

The above title is the same, but with "semisimple" instead of "simple," as that of a notice by Nadine Kowalsky. There, she announced many theorems on the subject of actions of simple Lie groups preserving a Lorentz structure. Unfortunately, she published proofs for essentially only half of the announced results before her premature death. Here, using a different, geometric approach, we generalize her results to the semisimple case, and give proofs of all her announced results.

• 出版日期2008-7