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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, roč.~29, č.~3, s.~385-393. ISSN~1804-1388. Dostupné z: https://dx.doi.org/10.2478/cm-2020-0009.
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