Symmetries of the dual metrics
نویسنده
چکیده
In this paper the symmetries of the dual manifold were investigated. We found the conditions when the manifold and its dual admit the same Killing vectors and Killing-Yano tensors. In the case of an Einstein’s metric gμν the corresponding equations for its dual were found. The examples of Kerr-Newman geometry and the separable coordinates in 1 + 1 dimensions were analyzed in details.
منابع مشابه
Duality And Non-Generic Symmetries
The generic and non-generic symmetries of the dual metrics was investigated.We found the conditions when the symmetries of the metrics and the dual metrics are the same.The dual spinning space was constructed without introduction of torsion. PACS numbers: 04.20.Jb,02.40.-K after 1st March 1999 at Institute of Space Sciences, Magurele-Bucharest,P.O.BOX, MG-36, R 76900, Romania e-mail:baleanu@ths...
متن کاملOn the $k$-ary Moment Map
The moment map is a mathematical expression of the concept of the conservation associated with the symmetries of a Hamiltonian system. The abstract moment map is defined from G-manifold M to dual Lie algebra of G. We will interested study maps from G-manifold M to spaces that are more general than dual Lie algebra of G. These maps help us to reduce the dimension of a manifold much more.
متن کاملNew Solutions for Fokker-Plank Equation of Special Stochastic Process via Lie Point Symmetries
In this paper Lie symmetry analysis is applied in order to find new solutions for Fokker Plank equation of Ornstein-Uhlenbeck process. This analysis classifies the solutions format of the Fokker Plank equation by using the Lie algebra of the symmetries of our considered stochastic process.
متن کاملThe Symmetries of Equivalent Lagrangian Systems and Constants of Motion
In this paper Mathematical structure of time-dependent Lagrangian systems and their symmetries are extended and the explicit relation between constants of motion and infinitesimal symmetries of time-dependent Lagrangian systems are considered. Starting point is time-independent Lagrangian systems ,then we extend mathematical concepts of these systems such as equivalent lagrangian systems to th...
متن کامل0 30 50 37 v 1 1 8 M ay 2 00 3 Partner symmetries of the complex Monge - Ampère equation yield hyper - Kähler metrics without continuous symmetries
We extend the Mason-Newman Lax pair for the elliptic complex MongeAmpère equation so that this equation itself emerges as an algebraic consequence. We regard the function in the extended Lax equations as a complex potential. They imply the determining equation for symmetries of the complex Monge-Ampère equation as their differential compatibility condition. We shall identify the real and imagin...
متن کامل