Oscillator and pendulum equation on pseudo-Riemannian spaces

スポンサーリンク

概要

• 論文の詳細を見る

• We study conformal vector fields on pseudo-Riemannian manifolds which are locally gradient fields. This is closely related with a certain differential equation for the Hessian of a real function. We obtain global solutions of the oscillator and peandulum equation for the Hessian of this function on a pseudo-Riemannian manifold, generalizing previous results by M. Obata, Y. Tashiro, and Y. Kerbrat. In particular, it turns out that the pendulum equation characterizes a certain conformal type of metrics carrying a conformal vector field with infinitely many zeros.

• 東北大学の論文

著者

• Kuhnel Wolfgang

  Mathematisches Institut B Universitat Stuttgart

• Rademacher Hans-Bert

  Mathematisches Institute, Universitat Leipzig

• Rademacher Hans-bert

  Mathematisches Institute Universitat Leipzig

関連論文

• Oscillator and pendulum equation on pseudo-Riemannian spaces

スポンサーリンク