%0 Journal Article
%T Some Approaches to Symmetric Spaces
%J American Journal of Mathematics and Statistics
%@ 2162-8475
%D 2012
%I 
%R 10.5923/j.ajms.20120206.07
%X In this study we introduce some approaches , geometrical and algebraic which help to give further understanding of symmetric spaces and help scientists who are seeking for suitable spaces for their applications to carry on their job . One of the aims of this study is to put forward the close connection between different approaches to symmetric spaces , namely algebraic and geometrical features of these spaces with some results . Also giving some conclusions and remarks on the foundation of symmetric spaces with logical ordering of notions and consequences . We think that symmetric space is a very important field for understanding abstract and applied features of spaces , besides they are still need much effort to understand them because of the diversity of their approaches which mix between algebra and geometry , so this Paper is an attempt to disclose some of these features and helps in more understanding and put forward a base for future applications .
%K Riemannian Manifold
%K Lie Groups
%K Lie Algebras
%K Homogeneous Spaces
%K Curvature Tensor
%U http://article.sapub.org/10.5923.j.ajms.20120206.07.html