ندرس في هذا البحث التطبيقات التوافقية بين نوع خاص من
فضاءات كيلير (الفضاءات التبادلية) و نثبت أنه إذا وجد تطبيق
توافقي بين فضاءات كيلير التبادلية فإن التطبيق يكون تحاكياً.
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,
References used
(K.Yano, Differential Geometry on Complex and Almost Spaces (Pergamum Press, Oxford, 1965
(A.Z.Petrov, New Method in General Relativity Theory (Navka, Moscow, 1966
V.V. Domashev and J. Mikes on the theory of holomorphially projective mappings of Kahlerian Spaces, mat.Zametki 23 (1978) (2) 297-304
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 .
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
In this paper defined important expressions, a
remembered important theorem which we need , approved
essential theorem to be exist non trivial Holomorphically
projective mapping between Kahlerian spaces.
Finally we specified Kahlerian spaces which have
maximum degree of variance parabolically – Kahlerian
spaces.
In this paper remembered important expressions and theorems related of
paper, After word try to find conditions to be exist
Isometric transformation and projective Transformation in in
Parabolically- Kahlerian flat Spaces, and try to limiting the number of
motion parameter in this transformations .