Some characterizations of space-forms
Some characterizations of space-forms
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DOI：
10.1090/s0002-9947-06-04091-8
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发表时间：
2006-11
影响因子：
1.3
通讯作者：
S. Pigola;M. Rigoli;A. G. Setti
中科院分区：
文献类型：
--
作者：
S. Pigola;M. Rigoli;A. G. Setti
利用无迹Ricci张量的积分条件，刻画了欧氏空间和双曲空间在完备的、局部共形平坦的常数量曲率流形中的性质。主要工具是一类微分不等式的LP-解的消失型结果。并给出了该技术的进一步应用。
Integral conditions on the traceless Ricci tensor are used to characterize Euclidean and hyperbolic spaces among complete, locally conformally flat manifolds of constant scalar curvature. The main tools are vanishing-type results for L P -solutions of a large class of differential inequalities. Further applications of the technique are also given.