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@article{2285880, author = {Chrysikos, Ioannis}, article_number = {3}, doi = {http://dx.doi.org/10.2478/cm-2020-0009}, keywords = {connections with totally skew-symmetric torsion; scalar curvature; nabla-Einstein manifolds; parallel skew-torsion}, language = {eng}, issn = {1804-1388}, journal = {Communications in Mathematics}, note = {Nevykazovat pro RIV. Afiliace není navázána na MU.}, title = {A note on the volume of Nabla-Einstein manifolds with skew-torsion}, url = {http://eudml.org/doc/298101}, volume = {29}, year = {2021} }
TY - JOUR ID - 2285880 AU - Chrysikos, Ioannis PY - 2021 TI - A note on the volume of Nabla-Einstein manifolds with skew-torsion JF - Communications in Mathematics VL - 29 IS - 3 SP - 385-393 EP - 385-393 PB - University of Ostrava SN - 18041388 N1 - Nevykazovat pro RIV. Afiliace není navázána na MU. KW - connections with totally skew-symmetric torsion KW - scalar curvature KW - nabla-Einstein manifolds KW - parallel skew-torsion UR - http://eudml.org/doc/298101 N2 - 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. ER -
CHRYSIKOS, Ioannis. A note on the volume of Nabla-Einstein manifolds with skew-torsion. \textit{Communications in Mathematics}. University of Ostrava, 2021, vol.~29, No~3, p.~385-393. ISSN~1804-1388. Available from: https://dx.doi.org/10.2478/cm-2020-0009.
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