English

A rigidity theorem for quaternionic Kaehler structures

Differential Geometry 2010-06-30 v1

Abstract

We study the moduli space of quaternionic Kaehler structures on a compact manifold of dimension 4n (n>2) from a point of view of Riemannian geometry, not twistor theory. Then we obtain a rigidity theorem for quaternionic Kaehler structures of nonzero scalar curvature by observing the moduli space.

Keywords

Cite

@article{arxiv.0810.5618,
  title  = {A rigidity theorem for quaternionic Kaehler structures},
  author = {Kota Hattori},
  journal= {arXiv preprint arXiv:0810.5618},
  year   = {2010}
}

Comments

26pages

R2 v1 2026-06-21T11:36:49.966Z