scholarly journals Four-manifolds with positive isotropic curvature

1997 ◽  
Vol 5 (1) ◽  
pp. 1-92 ◽  
Author(s):  
Richard S. Hamilton
Keyword(s):  
Isotropic Curvature ◽  
Four Manifolds

Four-manifolds with positive isotropic curvature

2016 ◽  
Vol 11 (5) ◽  
pp. 1123-1149
Author(s):  
Bing-Long Chen ◽  
Xian-Tao Huang
Keyword(s):  
Isotropic Curvature ◽  
Four Manifolds

scholarly journals Ricci flow with surgery on four-manifolds with positive isotropic curvature

2006 ◽  
Vol 74 (2) ◽  
pp. 177-264 ◽  
Author(s):  
Bing-Long Chen ◽  
Xi-Ping Zhu
Keyword(s):  
Ricci Flow ◽  
Isotropic Curvature ◽  
Four Manifolds

scholarly journals Complete Classification of Compact Four-Manifolds with Positive Isotropic Curvature

2012 ◽  
Vol 91 (1) ◽  
pp. 41-80 ◽  
Author(s):  
Bing-Long Chen ◽  
Siu-Hung Tang ◽  
Xi-Ping Zhu
Keyword(s):  
Complete Classification ◽  
Isotropic Curvature ◽  
Four Manifolds

Constructing symplectic manifolds

2017 ◽  
Author(s):  
Dusa McDuff ◽  
Dietmar Salamon
Keyword(s):  
Final Section ◽  
Symplectic Manifolds ◽  
Homotopy Equivalence ◽  
Codimension Two ◽  
Open Manifolds ◽  
Connected Sums ◽  
Symplectic Forms ◽  
Ambient Manifold ◽  
Blowing Up ◽  
Four Manifolds

This chapter examines various ways to construct symplectic manifolds and submanifolds. It begins by studying blowing up and down in both the complex and the symplectic contexts. The next section is devoted to a discussion of fibre connected sums and describes Gompf’s construction of symplectic four-manifolds with arbitrary fundamental group. The chapter also contains an exposition of Gromov’s telescope construction, which shows that for open manifolds the h-principle rules and the inclusion of the space of symplectic forms into the space of nondegenerate 2-forms is a homotopy equivalence. The final section outlines Donaldson’s construction of codimension two symplectic submanifolds and explains the associated decompositions of the ambient manifold.

scholarly journals On Einstein four-manifolds with S 1-actions

2004 ◽  
Vol 247 (3) ◽  
Author(s):  
Harish Seshadri
Keyword(s):  
Four Manifolds
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