First Laplace eigenvalue of strongly isotropy irreducible spaces
Differential Geometry
2025-11-19 v1 Spectral Theory
Abstract
We study the smallest positive eigenvalue of the Laplace-Beltrami operator associated with any compact strongly isotropy irreducible space. We provide an explicit expression for all simply connected cases. Furthermore, every strongly isotropy irreducible space is automatically an Einstein manifold, and we prove for each of them that , where denotes the corresponding Einstein constant.
Keywords
Cite
@article{arxiv.2511.14463,
title = {First Laplace eigenvalue of strongly isotropy irreducible spaces},
author = {Emilio A. Lauret and Fiorela Rossi Bertone and Alejandro Tolcachier},
journal= {arXiv preprint arXiv:2511.14463},
year = {2025}
}