Let （M, g） be an n-dimensional Riemannian manifold and T＊M be its cotan-gent bundle equipped with the rescaled Sasaki type metric. In this paper, we firstly study the paraholomorphy property of the rescaled Sasaki ...Let （M, g） be an n-dimensional Riemannian manifold and T＊M be its cotan-gent bundle equipped with the rescaled Sasaki type metric. In this paper, we firstly study the paraholomorphy property of the rescaled Sasaki type metric by using some compati-ble paracomplex structures on T＊M. Second, we construct locally decomposable Golden Riemannian structures on T＊M . Finally we investigate curvature properties of T＊M .展开更多
The main purpose of the present paper is to study almost paracomplex structures Euler-Lagrangian Equations on Walker 4-manifold with Walker metric. In this study, routes of bodies moving in space will be modeled mathe...The main purpose of the present paper is to study almost paracomplex structures Euler-Lagrangian Equations on Walker 4-manifold with Walker metric. In this study, routes of bodies moving in space will be modeled mathematically Euler-Lagrangian Equations on Walker 4-manifold with Walker metric that these are time-dependent partial differential equations. Here, we present paracomplex analogues of Euler-Lagrangian Equations on Walker 4-manifold with Walker metric. In addition, the geometrical-physical results related to paracomplex mechanical systems are discussed for Euler-Lagrangian Equations on Walker 4-manifold with Walker metric for dynamical systems. Finally, solution of the motion equations obtained as a result the study of using symbolic computational program is made.展开更多
文摘Let （M, g） be an n-dimensional Riemannian manifold and T＊M be its cotan-gent bundle equipped with the rescaled Sasaki type metric. In this paper, we firstly study the paraholomorphy property of the rescaled Sasaki type metric by using some compati-ble paracomplex structures on T＊M. Second, we construct locally decomposable Golden Riemannian structures on T＊M . Finally we investigate curvature properties of T＊M .
文摘The main purpose of the present paper is to study almost paracomplex structures Euler-Lagrangian Equations on Walker 4-manifold with Walker metric. In this study, routes of bodies moving in space will be modeled mathematically Euler-Lagrangian Equations on Walker 4-manifold with Walker metric that these are time-dependent partial differential equations. Here, we present paracomplex analogues of Euler-Lagrangian Equations on Walker 4-manifold with Walker metric. In addition, the geometrical-physical results related to paracomplex mechanical systems are discussed for Euler-Lagrangian Equations on Walker 4-manifold with Walker metric for dynamical systems. Finally, solution of the motion equations obtained as a result the study of using symbolic computational program is made.
