A family of steady Ricci solitons and Ricci-flat metrics

作者：Buzano M^*; Dancer A S; Wang M

来源：Communications in Analysis and Geometry, 2015, 23(3): 611-638.

DOI：10.4310/cag.2015.v23.n3.a5

We produce new non-Kahler complete steady gradient Ricci solitons whose asymptotics combine those of the Bryant solitons and the Hamilton cigar. The underlying manifolds are of the form R-2 x M-2 x . . . x M-r where M-i are arbitrary Einstein manifolds with positive scalar curvature. On the same spaces we also obtain a family of complete non-Kahler Ricci-flat metrics with asymptotically locally conical asymptotics. Among these new Ricci-flat and soliton examples are pairs with dimension 4m + 3 which are homeomorphic but not diffeomorphic.

• 出版日期2015-7