An integral formula for Riemannian G-structures with applications to\n almost Hermitian and almost contact structures

2017/06/26 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.1706.08294

openalex publication_date 2017/06/26 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

For a Riemannian G-structure, we compute the divergence of the vector field\ninduced by the intrinsic torsion. Applying the Stokes theorem, we obtain the\nintegral formula on a closed oriented Riemannian manifold, which we interpret\nin certain cases. We focus on almost harmitian and almost contact metric\nstructures.\n

Citations

• The Srni lectures on non-integrable geometries with torsion

Related

• Remarks on some integral formulas for G₂-structures
• Almost Parallel Structures
• Intrinsic torsion classes of Riemannian structures
• An integral formula for G₂-structures
• Harmonic almost contact structures via the intrinsic torsion