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

Kamil Niedzialomski

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

Differential Geometry 2019-04-26 v3

Authors: Kamil Niedzialomski

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.

Keywords

Riemannian G-structures intrinsic torsion integral formula Stokes theorem almost Hermitian structures almost contact metric structures

Cite

@article{arxiv.1706.08294,
  title  = {An integral formula for Riemannian $G$-structures with applications to almost Hermitian and almost contact structures},
  author = {Kamil Niedzialomski},
  journal= {arXiv preprint arXiv:1706.08294},
  year   = {2019}
}

Comments

24 pages; section on almost contact structures improved

Related papers

View all related →