Informace o publikaci
A note on the volume of Nabla-Einstein manifolds with skew-torsion
| Autoři | |
|---|---|
| Rok publikování | 2021 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Communications in Mathematics |
| Citace | |
| www | http://eudml.org/doc/298101 |
| Doi | http://dx.doi.org/10.2478/cm-2020-0009 |
| Klíčová slova | connections with totally skew-symmetric torsion; scalar curvature; nabla-Einstein manifolds; parallel skew-torsion |
| Popis | 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 first variation of the volume in terms of the corresponding scalar curvature. This generalizes a result of M. Ville [Vil] related with the first variation of the volume on a compact Einstein manifold. |