Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Zeki Kasap
Pages: [167] - [184]
Received Date: November 5, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121576
The paper purpose to introduce some partial differential equations on twistor space, with an emphasis on Hamilton equations. Classical mechanics has provided effective solution methods for dynamic systems. Hamilton equation is one of these methods and it is a model that shows the movement over time of dynamic systems. Twisted geometries are discrete geometries that plays a role in loop quantum gravity and spin foam models, where they appear in the semiclassical limit of spin networks. It is well-known that twistor spaces are certain complex 3-manifolds, which are associated with special conformal Riemannian geometries on 4-manifolds. This correspondence between complex 3-manifolds and real 4-manifolds is called the Penrose twistor correspondence. In this study, showing motion modelling partial differential equations have been obtained for movement of objects in space and solutions of these equations have been generated by using the Maple software. Additionally, the implicit solution of the equation obtained as a result of a special selection of graphics to be drawn.
twistor, Kählerian manifold, mechanical system, dynamic equation, almost complex, Hamiltonian formalism.
