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THE ANALYSIS OF THE HARMONIC-Spin(7) FLOW

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  • Additional Information
    • Contributors:
      Laboratoire de Mathématiques de Bretagne Atlantique (LMBA); Université de Bretagne Sud (UBS)-Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS); ANR-21-CE40-0017,BRIDGES,Interactions Brésil-France en théorie de jauge, structures extrémales et stabilité(2021)
    • Publication Information:
      HAL CCSD
      Sociedade Brasileira de Matemática
    • Publication Date:
      2023
    • Abstract:
      International audience ; The group Spin(7) belongs to the list of possible holonomy of an eight-dimensional Riemannian manifold. The weaker notion of Spin(7)-structures plays for manifolds with holonomy Spin(7), the analogue of almost Hermitian for Kähler manifolds. As part of a more general scheme, a notion of harmonicity of Spin(7)-structures is developed with the objective of comparing isometric Spin(7)-structures among themselves. We present here an account of our study in [12] of the harmonic flow of Spin(7)-structures and its analytical properties.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/2311.17800; hal-04302327; https://hal.science/hal-04302327; https://hal.science/hal-04302327/document; https://hal.science/hal-04302327/file/cordoba_Spin_7.pdf; ARXIV: 2311.17800
    • Online Access:
      https://hal.science/hal-04302327
      https://hal.science/hal-04302327/document
      https://hal.science/hal-04302327/file/cordoba_Spin_7.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • Accession Number:
      edsbas.4F9722D8