Asymptotics of the Self-Dual Deformation Complex

被引：4

作者：

Ache, Antonio G. ^{[1
]}

Viaclovsky, Jeff A. ^{[2
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2015年 / 25卷 / 02期

关键词：

Anti-self-dual metrics; Gluing theory; Indicial roots; LOCALLY EUCLIDEAN METRICS; CONFORMAL STRUCTURES; CURVATURE; MANIFOLDS; SPACES;

D O I：

10.1007/s12220-013-9452-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze the indicial roots of the self-dual deformation complex on a cylinder (R x Y-3,Y- dt(2) + g(Y)), where Y-3 is a space of constant curvature. An application is the optimal decay rate of solutions on a self-dual manifold with cylindrical ends having cross-section Y-3, which is crucial in gluing results for orbifolds in the case of cross-section Y-3 = S-3/Gamma. We also resolve a conjecture of Kovalev-Singer in the case where Y-3 is a hyperbolic rational homology 3-sphere, and show that there are infinitely many examples for which the conjecture is true, and infinitely many examples for which the conjecture is false.

引用

页码：951 / 1000

页数：50

共 24 条

[1] OBSTRUCTION-FLAT ASYMPTOTICALLY LOCALLY EUCLIDEAN METRICS [J].