A Survey on Geometric Dynamics of 4-Walker Manifold

• 作者: Mehmet Tekkoyun
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: WALKER MANIFOLDS LAGRANGIAN and HAMILTONIAN Mechanics
• 年，卷（期）: 2011,（11）
• 页码范围: 1318-1323
• 页数: 6页
• 分类号: O1

摘要

A Walker n-manifold is a semi-Riemannian n-manifold, which admits a field of parallel null r-planes, with r ≤ 2/n . It is well-known that semi-Riemannian geometry has an important tool to describe spacetime events. Therefore, solutions of some structures about 4-Walker manifold can be used to explain spacetime singularities. Then, here we present complex and paracomplex analogues of Lagrangian and Hamiltonian mechanical systems on 4-Walker manifold. Finally, the geometrical-physical results related to complex (paracomplex) mechanical systems are also discussed.