A remark on the Herzlich volume of asymptotically complex hyperbolic Einstein manifolds
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🧮 math.DG
keywords
asymptoticallycomplexeinsteinherzlichhyperbolicselfdualvolumeassume
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We observe inequalities involving the Herzlich volume of a 4-dimensional asymptotically complex hyperbolic Einstein manifold and its Euler characteristic provided the metrics is either Kaehler or selfdual. In the selfdual case we have to assume furthermore that the Kronheimer-Mrowka invariant is non vanishing.
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