Ioannis Chrysikos - A note on the volume of ∇-Einstein manifolds with skew-torsion

cm:9517 - Communications in Mathematics, December 23, 2021, Volume 29 (2021), Issue 3 - https://doi.org/10.2478/cm-2020-0009
A note on the volume of ∇-Einstein manifolds with skew-torsion

Authors: 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 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.

    https://doi.org/10.2478/cm-2020-0009
    Source : oai:HAL:hal-03664985v1
    Volume: Volume 29 (2021), Issue 3
    Published on: December 23, 2021
    Imported on: May 11, 2022
    Keywords: General Mathematics,[MATH]Mathematics [math]
    Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

    Linked data

    Source : ScholeXplorer HasVersion DOI 10.48550/arxiv.1909.02052
    • 10.48550/arxiv.1909.02052
    A note on the volume of $\nabla$-Einstein manifolds with skew-torsion
    Chrysikos, Ioannis ;

    Export

    BibTeX TEI DC OpenAIRE Crossref DOAJ zbJATS JSON

    Share

    Consultation statistics

    This page has been seen 66 times.
    This article's PDF has been downloaded 29 times.