Uniqueness of asymptotic cones of complete noncompact shrinking gradient Ricci solitons with Ricci curvature decay

作者：Chow Bennett^*; Lu Peng

来源：Comptes Rendus Mathematique, 2015, 353(11): 1007-1009.

DOI：10.1016/j.crma.2015.09.009

We show that any complete noncompact shrinking gradient Ricci soliton with (1) vertical bar Rc vertical bar -> 0 at infinity or (2) R -> 0 at infinity, vertical bar Rm vertical bar bounded, and kappa-noncollapsed has a unique asymptotic cone.

• 出版日期2015-11