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THE ANALYSIS OF THE HARMONIC-Spin(7) FLOW
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- Author(s): Loubeau, E
- Source:
ISSN: 0103-9059 ; Matemática Contemporânea ; https://hal.science/hal-04302327 ; Matemática Contemporânea, 2023, Special Volume of the Workshop on Geometric Structures and Moduli Spaces.
- Subject Terms:
- Document Type:
conference object
- Language:
English
- 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
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