English

On Locally Conformal Spin(7) Structure

Differential Geometry 2024-03-04 v1

Abstract

This article reveals a significant connection in geometry: when the Lee form θ\theta is normal to an almost Hermitian manifold NN, it implies that NN possesses a nearly K\"ahler structure. Investigating locally conformally Spin(7) manifolds with 2-vector fields, our study provides a concise yet rigorous proof of this relationship.

Keywords

Cite

@article{arxiv.2403.00731,
  title  = {On Locally Conformal Spin(7) Structure},
  author = {Eyup Yalcinkaya},
  journal= {arXiv preprint arXiv:2403.00731},
  year   = {2024}
}
R2 v1 2026-06-28T15:06:16.596Z