English

Laplacian and codifferential operators on p-forms in (Anti)-de Sitter spaces: restriction and continuation

Mathematical Physics 2025-07-29 v3 General Relativity and Quantum Cosmology Differential Geometry math.MP

Abstract

We derive explicit restriction and continuation formulas between n-dimensional (Anti)-de Sitter spaces and the (n + 1)-dimensional Minkowskian ambient space for the codifferential and Laplace-de Rham operators acting on p-forms.

Keywords

Cite

@article{arxiv.2408.01360,
  title  = {Laplacian and codifferential operators on p-forms in (Anti)-de Sitter spaces: restriction and continuation},
  author = {E. Huguet and J. Queva and J. Renaud},
  journal= {arXiv preprint arXiv:2408.01360},
  year   = {2025}
}

Comments

9 pages, v2: typos corrected, v3: close match to published article