Geometry & Topology Volume 21, issue 5 (2017)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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The nonuniqueness of the tangent cones at infinity of Ricci-flat manifolds

Kota Hattori

Geometry & Topology 21 (2017) 2683–2723

DOI: 10.2140/gt.2017.21.2683

Bibliography

1	M T Anderson, P B Kronheimer, C LeBrun, Complete Ricci-flat Kähler manifolds of infinite topological type, Comm. Math. Phys. 125 (1989) 637 MR1024931
2	V N Berestovskii, L Guijarro, A metric characterization of Riemannian submersions, Ann. Global Anal. Geom. 18 (2000) 577 MR1800594
3	V N Berestovskiĭ, “Submetries” of three-dimensional forms of nonnegative curvature, Sibirsk. Mat. Zh. 28 (1987) 44, 224 MR906032
4	J Cheeger, T H Colding, Lower bounds on Ricci curvature and the almost rigidity of warped products, Ann. of Math. 144 (1996) 189 MR1405949
5	J Cheeger, T H Colding, On the structure of spaces with Ricci curvature bounded below, I, J. Differential Geom. 46 (1997) 406 MR1484888
6	T H Colding, W P Minicozzi II, On uniqueness of tangent cones for Einstein manifolds, Invent. Math. 196 (2014) 515 MR3211041
7	T H Colding, A Naber, Characterization of tangent cones of noncollapsed limits with lower Ricci bounds and applications, Geom. Funct. Anal. 23 (2013) 134 MR3037899
8	R Goto, On hyper-Kähler manifolds of type A_∞, Geom. Funct. Anal. 4 (1994) 424 MR1280121
9	M Gromov, Structures métriques pour les variétés riemanniennes, 1, CEDIC (1981) MR682063
10	M Gromov, Metric structures for Riemannian and non-Riemannian spaces, Birkhäuser (2007) MR2307192
11	K Hattori, The volume growth of hyper-Kähler manifolds of type A_∞, J. Geom. Anal. 21 (2011) 920 MR2836587
12	G Perelman, A complete Riemannian manifold of positive Ricci curvature with Euclidean volume growth and nonunique asymptotic cone, from: "Comparison geometry" (editors K Grove, P Petersen), Math. Sci. Res. Inst. Publ. 30, Cambridge Univ. Press (1997) 165 MR1452873