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arXiv · 0802.2474

A remark on the Herzlich volume of asymptotically complex hyperbolic Einstein manifolds

Yann Rollin
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Abstract

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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Yann Rollin. 2008-02-18. A remark on the Herzlich volume of asymptotically complex hyperbolic Einstein manifolds. https://arxiv.org/abs/0802.2474

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