%0 Journal Article %T Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime %A Kuo-Wei Lee %A Yng-Ing Lee %J Mathematics %D 2015 %I arXiv %X We first summarize the characterization of smooth spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in the Schwarzschild spacetime and Kruskal extension. Then use the characterization to prove special SS-CMC foliation property, and verify part of the conjecture by Malec and \'{O} Murchadha in their 2003 paper. %U http://arxiv.org/abs/1507.07447v1