A Family of Steady Ricci Solitons and Ricci-flat Metrics

We produce new non-K\"ahler complete steady gradient Ricci solitons whose asymptotics combine those of the Bryant solitons and the Hamilton cigar. We also obtain a family of complete Ricci-flat metrics with asymptotically locally conical asymptotics. Finally, we obtain numerical evidence for co...

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Veröffentlicht in:arXiv.org 2013-11
Hauptverfasser: Buzano, M, Dancer, A S, Gallaugher, M, Wang, M
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Sprache:eng
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Zusammenfassung:We produce new non-K\"ahler complete steady gradient Ricci solitons whose asymptotics combine those of the Bryant solitons and the Hamilton cigar. We also obtain a family of complete Ricci-flat metrics with asymptotically locally conical asymptotics. Finally, we obtain numerical evidence for complete steady soliton structures on the vector bundles whose distance sphere bundles are respectively the twistor and \({\rm Sp}(1)\) bundles over quaternionic projective space.
ISSN:2331-8422