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E. Garca-Ro, S. Haze, N. Katayama and Y. Matsushita, “Symplectic, Hermitian and K?hler Structures on Walker 4-Manifolds,” Journal of Geometry, Vol. 90, 2008, pp. 56-65. doi:10.1007/s00022-008-1999-y

has been cited by the following article:

• TITLE: A Survey on Geometric Dynamics of 4-Walker Manifold

  AUTHORS: Mehmet Tekkoyun

  KEYWORDS: Walker Manifolds, Lagrangian and Hamiltonian Mechanics

  JOURNAL NAME: Journal of Modern Physics, Vol.2 No.11, November 23, 2011

  ABSTRACT: 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.