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math.DG2019
A note on the volume of -Einstein manifolds with skew-torsion
Ioannis Chrysikos
We study the volume of compact Riemannian manifolds which are Einstein with respect to a metric connection with (parallel) skew-torsion. We provide a result for the sign of the fir…
math.DG2019★ 2 cited
Homogeneous 8-manifolds admitting invariant Spin(7)-structures
Dmitri Alekseevsky, Ioannis Chrysikos, Anna Fino +1
We study compact, simply connected, homogeneous 8-manifolds admitting invariant Spin(7)-structures, classifying all canonical presentations G/H of such spaces, with G simply connec…