6 papers · 1 filter
Einstein metrics, their moduli spaces and stability
Paul Schwahn, Uwe Semmelmann
This survey deals with two closely connected topics: first, the stability of Einstein metrics under the Einstein-Hilbert functional, and second, their deformation theory and the st…
Geometries with parallel, skew-symmetric and closed torsion
Andrei Moroianu, Paul Schwahn
We study Riemannian manifolds carrying a metric connection with parallel, skew-symmetric and closed torsion, which we call in short PSCT manifolds. We prove that PSCT manifolds alw…
Sandwich operators and Einstein deformations of compact symmetric spaces related to Jordan algebras
Stuart James Hall, Paul Schwahn, Uwe Semmelmann
We study the deformability of the symmetric Einstein metrics on the spaces and , thereby concluding the problem to s…
Submersion constructions for geometries with parallel skew torsion
Andrei Moroianu, Paul Schwahn
In the absence of a de Rham decomposition theorem for geometries with torsion, we develop and unify ways to view a geometry with parallel skew torsion as the total space of a local…
The Lichnerowicz Laplacian on normal homogeneous spaces
Paul Schwahn
We give a new formula for the Lichnerowicz Laplacian on normal homogeneous spaces in terms of Casimir operators. We derive some practical estimates and apply them to the known list…
On the rigidity of the complex Grassmannians
Paul Schwahn, Uwe Semmelmann
We study the integrability to second order of the infinitesimal Einstein deformations of the symmetric metric on the complex Grassmannian of -planes inside . B…