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We study a positivity condition for the curvature of oriented Riemannian 4-manifolds: The half-$PIC$ condition.
J. M. Bony, Principe du maximum, in égalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérés
1969
Earlier work this paper cites.
N. Hitchin, Compact four-dimensional Einstein manifolds
1974
Earlier work this paper cites.
T. Friedrich, H. Kurke, Compact four-dimensional self dual Einstein manifolds with positive scalar curvature
1982
Earlier work this paper cites.
A. Derdzinski, Self-dual Kähler manifolds and Einstein manifolds of dimension four
1983
Earlier work this paper cites.
R. Hamilton, Four-manifolds with positive curvature operator
1986
Earlier work this paper cites.
M. Micallef, J. Moore Minimal Two-Spheres and the Topology of Manifolds with Positive Curvature on Totally Isotropic Two-Planes
1988
Earlier work this paper cites.
D. Freed, K. Uhlenbeck, Instantons and four-manifolds,
1991
Earlier work this paper cites.
M. Micallef, M . Wang, Metrics with nonnegative isotropic curvature
1993
Cited alongside, same era.
R. Hamilton, Four-manifolds with positive isotropic curvature
1997
Cited alongside, same era.
M. Gursky, C. LeBrun, On Einstein Manifolds of Positive Sectional Curvature
1999
Cited alongside, same era.
B.-L. Chen, X.-P. Zhu, Ricci flow with surgery on four-manifolds with positive isotropic curvature
2006
Cited alongside, same era.
C. Böhm, B. Wilking, Manifolds with positive curvature operators are space forms
2008
Cited alongside, same era.
S. Brendle, R. Schoen, Classification of manifolds with weakly 1 4 \frac{1}{4} -pinched curvatures
2008
Cited alongside, same era.
S. Brendle, R. Schoen, Manifolds with 1 4 \frac{1}{4} -pinched curvatures are space forms
2009
Later among the works it cites.
H. Seshadri, Manifolds with nonnegative isotropic curvature
2009
Later among the works it cites.
S. Brendle, Einstein manifolds with nonnegative isotropic curvature are locally symmetric
2010
Later among the works it cites.
H. T. Nguyen, Isotropic curvature and the Ricci flow
2010
Later among the works it cites.
S. Brendle, Einstein metrics and preserved curvature conditions for the Ricci flow
2011
Later among the works it cites.
H. S. Gururaja, S. Maity, H. Seshadri, On Wilking’s criterion for the Ricci flow
2013
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Ni, L. and N. Wallach (2008) Four-Dimensional Gradient Shrinking Solitons
2008
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A. Besse, Einstein Manifolds
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S. Hoelzel, Surgery stable curvature conditions
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T. Richard, H. Seshadri, Noncoercive Ricci flow invariant cones
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B. Wilking, A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
2013
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