Some General New Einstein Walker Manifolds

Lie symmetry group method is applied to find the Lie point symmetry group of a system of partial differential equations that determines general form of four-dimensional Einstein Walker manifold. Also we will construct the optimal system of one-dimensional Lie subalgebras and investigate some of its...

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Bibliographic Details
Published in:Advances in mathematical physics 2013-01, Vol.2013 (2013), p.1-8
Main Authors: Nadjafikhah, Mehdi, Jafari, Mehdi
Format: Article
Language:English
Subjects:
Construction
Derivatives
Generators
Group theory
Invariants
Manifolds
Mathematical analysis
Optimization
Partial differential equations
Studies
Symmetry
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Summary:Lie symmetry group method is applied to find the Lie point symmetry group of a system of partial differential equations that determines general form of four-dimensional Einstein Walker manifold. Also we will construct the optimal system of one-dimensional Lie subalgebras and investigate some of its group invariant solutions.
ISSN:1687-9120
1687-9139
DOI:10.1155/2013/591852