科研之友
微信
新浪微博
Facebook
分享链接
摘要
We extend the study of the vacuum Einstein constraint equations on manifolds with ends of cylindrical type initiated by Chrusciel and Mazzeo (2012) and Chrusciel et al (2012 Adv. Theor. Math. Phys. at press) by finding a class of solutions to the fully coupled system on such manifolds. We show that given a Yamabe positive metric g which is conformally asymptotically cylindrical on each end and a 2-tensor K such that (tr(g)K)(2) is bounded below away from zero and asymptotically constant, then we may find an initial data set ((g) over bar, (K) over bar) such that (g) over bar lies in the conformal class of g.
- 出版日期2014-2-7
