Browsing by Author "Schwahn, Paul"
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Item Open Access Coindex and rigidity of Einstein metrics on homogeneous Gray manifolds(2022) Schwahn, PaulAny 6-dimensional strict nearly Kähler manifold is Einstein with positive scalar curvature. We compute the coindex of the metric with respect to the Einstein-Hilbert functional on each of the compact homogeneous examples. Moreover, we show that the infinitesimal Einstein deformations on F1,2=SU(3)/T2are not integrable into a curve of Einstein metrics.Item Open Access Faszination Mathematik : ein Einblick in die Sammlung mathematischer Modelle am Fachbereich Mathematik(Stuttgart : Fachbereich Mathematik, Universität Stuttgart, 2020) Wackerow, Anna; Schwahn, Paul; Witt, Frederik; Wiatrowski, Frank (Fotograf); Engstler, Katja Stefanie (Idee und Gestaltung)Item Open Access Stability of Einstein metrics on homogeneous spaces(2023) Schwahn, Paul; Semmelmann, Uwe (Prof. Dr.)(1) Stability of Einstein metrics on symmetric spaces of compact type: We prove the linear stability with respect to the Einstein-Hilbert action of the symmetric spaces SU(n), n ≥ 3, and E_6/F_4 . Combined with earlier results, this resolves the stability problem for irreducible symmetric spaces of compact type.Item Open Access Stability of Einstein metrics on symmetric spaces of compact type(2021) Schwahn, PaulWe prove the linear stability with respect to the Einstein-Hilbert action of the symmetric spaces SU(n), n≥3, and E6/F4. Combined with earlier results, this resolves the stability problem for irreducible symmetric spaces of compact type.