يناقش موضوع الرسالة التطبيقية الجيوديزية بين فضاءات ريمان وهو عمل أعد لني درجة الماجستير في الرياضيات . تقع دراستنا هذه في ست فصول تتضمن دراسة مرجعية ودراسة لتطبيقات الجيوديزية بين فضاءات ريمان وبعض فضاءات ريمان الخاصة .
This thesis discusses the Geodesic Mapping in Riemannian Spaces, Which is prepared to get the Master's degree in Mathematics- Mathematical analysis .
References used
Aminova, A.V. Pseudo-Riemannian manifolds with common geodesics, Russ . Math. Surv. 48, No.2, 105-160(1993)
In this paper devined parablically Sasakei space, and
found necessary and sufficient conditions in order to exist
geodesic mapping between tow Sasakei spaces , and broved
that necessary and sufficien conditions to exist geodesic
mapping between t
in this paper we:
1) defined Riemannian space , conformal mapping, Einstein
space , Ricci recurrent Einstein space.
2) study conformal mapping between Einstein spaces
corresponding flat surface, and Ricci recurrent Einstein
space.
In this paper, we study conformal mapping between O- spaces. We
find The existing of the necessary and sufficient conditions for a
conformal mapping .
We prove that there is no nontrivial conformal mapping between Ospaces
with the same structure.
In this paper we study conformal mappings between
special Parabolically Kahlerian Spaces (commutative spaces).
A proved , if exist conformal mapping between commutative
Kahlerin spaces ,then the mapping is Homothetic
mapping,
In this research paper, we study geodesic mappings
of gravitation fields . The mapping listed are considered,
on the one hand, a generalization of aftomorfizm of
movement and harmonic mappings, and on the other
hand the practical mappings in the theory of relativity .