Universität Stuttgart
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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 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 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.