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Register a new userconformal mappings from Ricci symmetric spaces onto Einstein spaces
التطبيقات المتزاوية من فضاءات ريتشي المتناظرة على فضاءات أينشتاين
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نعرف أهم المفاهيم المتعلقة بالبحث: فضاء ريمان, التطبيق المتزاوي, فضاء أينشتاين, فضاء ريمان المتناظر, فضاء ريتشي و ريتشي المتناظر, و نذكر بأهم خواص هذه الفضاءات.
in this paper we: defined Riemannian spaces, conformal mappings, Einstein spaces, Riemannian symmetric spaces, Ricci spaces and Ricci symmetric spaces, recall the fundamental properties of these spaces
References used
(Brinkmann, H.W. Einstein spaces which mapped conformally on each other. Math. Ann. 94 (1925
(Chepurna, O., Kiosak, V., Mikes, J. Conformal mappings of Riemannian spaces which preserve the Einstein tensor. J. of Appl. Math. Aplimat (inpreparation
Fedishchenko, S.I. Special conformal mappings of Riemannian spaces. II.Ukrain. Geom. Sb. No. 25, 144, 130-137, 1982
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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 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 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 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
ow Sasakie spaces with equivalent affinors
are equidistant .
A finally fond that is , if exist geodesic mappings between
tow constant corvator parablically Sasakei spaces to there
Rich tensors are proportional.
In this paper remembered important expressions and theorems related of
paper, After word find conditions to be exist
coformal transformation and Affine Transformation in Parabolically-
Kahlerian flat Spaces, and limiting the number of motion parameter in
this transformations .
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