%0 Journal Article %T On the realization of Riemannian symmetric spaces in Lie groups %A Jinpeng An %A Zhengdong Wang %J Mathematics %D 2005 %I arXiv %X In this paper we give a realization of some symmetric space G/K as a closed submanifold P of G. We also give several equivalent representations of the submanifold P. Some properties of the set gK\cap P are also discussed, where gK is a coset space in G. %U http://arxiv.org/abs/math/0502028v3