Decomposition of Killing vector fields on tangent spherebundles

スポンサーリンク

概要

• 論文の詳細を見る

• Given an orientable Riemannian manifold, we consider the bundle of oriented orthonormal frames and the tangent sphere bundle over it, which admit natural Riemannian metrics defined by the Riemannian connection. We show that there is a natural homomorphism between the Lie algebras of fiber preserving Killing vector fields on these bundles. In particular, for any orientable Riemannian manifold of dimension two, we show that the homomorphism is extended to an isomorphism between these Lie algebras.

• 東北大学の論文

著者

• Konno Tatsuo

  College Of Engineering Nihon University

• Konno Tatsuo

  College Of Engineering Nihonuniversity

関連論文

• Unit tangent bundle over two-dimensional real projective space
• Decomposition of Killing vector fields on tangent spherebundles

スポンサーリンク