An integral formula for G₂-structures

2020/12/29 by Kamil Niedziałomski, Niedzialomski, Kamil
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2012.14709

openalex publication_date 2020/12/29 · openalex created_date 2021/01/05 · openalex updated_date 2026/07/28

Abstract

We apply an integral formula obtained by the author for a general G--structure to the case of G=G₂. We derive an integral formula relating curvatures and some quadratic invariants of the endomorphism induced by the intrinsic torsion. We interpret the formula in certain special cases.

Citations

• The Srni lectures on non-integrable geometries with torsion

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