ALMOST KÄHLER 4-MANIFOLDS, L2-SCALAR CURVATURE FUNCTIONAL AND SEIBERG–WITTEN EQUATIONS
2004 ◽
Vol 15
(06)
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pp. 573-580
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Keyword(s):
We show in this paper by applying the Seiberg–Witten theory developed by Taubes and LeBrun that a compact almost Kähler–Einstein 4-manifold of negative scalar curvature s is Kähler–Einstein if and only if the L2-norm satisfies ∫Ms2dv=32π2(2χ+3τ)(M). The Einstein condition can be weakened by the topological condition (2χ+3τ)(M)>0.
2005 ◽
Vol 23
(2)
◽
pp. 114-127
Keyword(s):
2005 ◽
Vol 07
(03)
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pp. 299-310
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Keyword(s):
1998 ◽
Vol 21
(1)
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pp. 69-72
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Keyword(s):
2007 ◽
Vol 33
(2)
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pp. 115-136
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2015 ◽
Vol 26
(04)
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pp. 1540006
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2015 ◽
Vol 424
(2)
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pp. 1544-1548
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Keyword(s):
ALMOST KAHLER METRICS WITH NON-POSITIVE SCALAR CURVATURE WHICH ARE EUCLIDEAN AWAY FROM A COMPACT SET
2004 ◽
Vol 41
(5)
◽
pp. 809-820
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Keyword(s):