English

A note on vanishing theorems

Differential Geometry 2014-08-06 v1

Abstract

On a Riemannian manifold we define a one-parameter family of Laplacians acting on sections of any bundle associated to the principal frame bundle via a representation, and show how various examples fit into this framework.

Keywords

Cite

@article{arxiv.1408.0885,
  title  = {A note on vanishing theorems},
  author = {Nigel Hitchin},
  journal= {arXiv preprint arXiv:1408.0885},
  year   = {2014}
}

Comments

To appear in a volume dedicated to the memory of S Kobayashi. Some historical comments are included

R2 v1 2026-06-22T05:20:29.621Z