On the explicit expressions of the canonical 8-form on Riemannian manifolds with \(\mathrm{Spin}(9)\) holonomy

DOI10.1007/s12188-016-0124-7zbMath1364.53049OpenAlexW2293543360WikidataQ115377297 ScholiaQ115377297MaRDI QIDQ525189

Marco Castrillón López, Ihor V. Mykytyuk, Pedro Martínez Gadea

Publication date: 28 April 2017

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-016-0124-7

zbMATH Keywords

\(\mathrm {Spin}(9)\) holonomycanonical 8-form

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Issues of holonomy in differential geometry (53C29)

Related Items

Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a Spin(9)-structure, The role of \(\mathrm{Spin}(9)\) in octonionic geometry, Parallelizations on products of spheres and octonionic geometry

Cites Work

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• Spheres with more than 7 vector fields: All the fault of \(\mathrm{Spin}(9)\)
• ON THE GEOMETRY OF THE SUPERMULTIPLET IN M-THEORY
• THE CANONICAL EIGHT-FORM ON MANIFOLDS WITH HOLONOMY GROUP SPIN(9)