Scholarlink

Hano’s theorem states that the space of Killing vector fields of a complete simply connected Riemannian manifold is isomorphic to the direct sum of the Killing vector fields of the factors in its de Rham decomposition. We prove a generalization of this theorem to manifolds with indefinite metrics that requires an assumption on the factors, and show by example why this assumption is needed.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Killing vector fields on semi-Riemannian product manifolds

  • 章节

  • 发表日期：

    2025年

查看全文
  • Federico Costanza,
  • Thomas Leistner

摘要

Hano’s theorem states that the space of Killing vector fields of a complete simply connected Riemannian manifold is isomorphic to the direct sum of the Killing vector fields of the factors in its de Rham decomposition. We prove a generalization of this theorem to manifolds with indefinite metrics that requires an assumption on the factors, and show by example why this assumption is needed.