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arXiv · 2311.17800

The analysis of the harmonic-spin(7) flow

E Loubeau
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Abstract

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 K{\"a}hler 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.

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E Loubeau. 2023-11-29. The analysis of the harmonic-spin(7) flow. https://arxiv.org/abs/2311.17800

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