Riemannian Spin(7) holonomy manifold carries octonionic-Kahler structure
Dmitry V. Egorov
TL;DR
This paper proves that Riemannian manifolds with Spin(7) holonomy inherently possess an octonionic-Kähler structure, revealing a deep geometric connection between special holonomy and octonionic geometry.
Contribution
It establishes for the first time that Spin(7) holonomy manifolds naturally carry octonionic-Kähler structures, linking special holonomy to octonionic geometry.
Findings
Riemannian Spin(7) manifolds have octonionic-Kähler structures
The result connects special holonomy with octonionic geometry
Provides new insights into the geometric structure of Spin(7) manifolds
Abstract
We prove that Riemannian holonomy manifolds carry octonionic-K\"{a}hler structure.
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