Minimal volume invariants, topological sphere theorems and biorthogonal curvature on 4-manifolds
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DOI: 10.1002/mana.201700041
Abstract: The goal of this article is to establish estimates involving the Yamabe minimal volume, mixed minimal volume and some topological invariants on compact 4-manifolds. In addition, we provide topological sphere theorems for compact submanifolds of… read more here.
Keywords: volume; invariants topological; volume invariants; sphere theorems ... See more keywords
Some sphere theorems in linear potential theory
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DOI: 10.1090/tran/7637
Abstract: In this paper we analyze the capacitary potential due to a charged body in order to deduce sharp analytic and geometric inequalities, whose equality cases are saturated by domains with spherical symmetry. In particular, for… read more here.
Keywords: linear potential; bigg frac; theorems linear; frac ... See more keywords