English

Witten deformation and divergence-free symmetric Killing 2-tensors

Differential Geometry 2024-05-20 v1

Abstract

Using a Morse function and a Witten deformation argument, we obtain an upper bound for the dimension of the space of divergence-free symmetric Killing pp-tensors on a closed Riemannian manifold, and calculate it explicitly for p=2p=2.

Keywords

Cite

@article{arxiv.2405.10520,
  title  = {Witten deformation and divergence-free symmetric Killing 2-tensors},
  author = {Kwangho Choi and Junho Lee},
  journal= {arXiv preprint arXiv:2405.10520},
  year   = {2024}
}