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TWISTOR THEORY FOR EXCEPTIONAL HOLONOMY
Author(s) -
Pantilie Radu
Publication year - 2021
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/mtk.12060
Subject(s) - holonomy , twistor theory , mathematics , pure mathematics , natural (archaeology) , ricci flat manifold , hyperkähler manifold , algebra over a field , geometry , scalar curvature , geography , archaeology , curvature
We show that the G 2 ‐manifolds and certain Spin(7)‐manifolds are endowed with natural Riemannian twistorial structures. Along the way, the exceptional holonomy representations are reviewed and other related facts are considered.