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arXiv · 1706.08294

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

Kamil Niedzialomski
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Abstract

For a Riemannian $G$-structure, we compute the divergence of the vector field induced by the intrinsic torsion. Applying the Stokes theorem, we obtain the integral formula on a closed oriented Riemannian manifold, which we interpret in certain cases. We focus on almost harmitian and almost contact metric structures.

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Kamil Niedzialomski. 2017-06-26. An integral formula for Riemannian $G$-structures with applications to almost Hermitian and almost contact structures. https://arxiv.org/abs/1706.08294

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