A note on the volume of-Einstein manifolds with skew-Torsion

dc.rights.license	CC BY	eng
dc.contributor.author	Chrysikos, Ioannis	cze
dc.date.accessioned	2025-12-05T11:11:10Z
dc.date.available	2025-12-05T11:11:10Z
dc.date.issued	2021	eng
dc.identifier.issn	1804-1388	eng
dc.identifier.uri	http://hdl.handle.net/20.500.12603/1500
dc.description.abstract	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 [15] related with the first variation of the volume on a compact Einstein manifold. © 2021 Ioannis Chrysikos, published by Sciendo.	eng
dc.format	p. 385-393	eng
dc.language.iso	eng	eng
dc.publisher	Sciendo	eng
dc.relation.ispartof	Communications in Mathematics, volume 29, issue: 3	eng
dc.subject	Einstein manifolds	eng
dc.subject	connections with totally skew-symmetric torsion	eng
dc.subject	parallel skew-Torsion	eng
dc.subject	scalar curvature	eng
dc.title	A note on the volume of-Einstein manifolds with skew-Torsion	eng
dc.type	article	eng
dc.identifier.obd	43878903	eng
dc.identifier.doi	10.2478/cm-2020-0009	eng
dc.publicationstatus	postprint	eng
dc.peerreviewed	yes	eng
dc.source.url	https://eudml.org/doc/298101	cze
dc.relation.publisherversion	https://eudml.org/doc/298101	eng
dc.rights.access	Open Access	eng
dc.project.ID	GJ19-14466Y/Speciální metriky v supergravitaci a nové G-struktury	eng