3 papers
math.DG2026
The Laplace-Beltrami spectrum on Naturally Reductive Homogeneous Spaces
Ilka Agricola, Jonas Henkel
We prove a formula for the spectrum of the Laplace-Beltrami operator on functions for compact naturally reductive homogeneous spaces in terms of eigenvalues of a generalized Casimi…
math.DG2026
Explicit Laplace Spectra of Homogeneous Principal Bundles
Ilka Agricola, Leandro Cagliero, Jonas Henkel
We present a unified representation-theoretic method to compute the Laplace-Beltrami spectrum on homogeneous principal bundles. For this setting, we introduce a multi-parameter fam…
math.DG2026
A new approach to the classification of almost contact metric manifolds via intrinsic endomorphisms
Ilka Agricola, Dario Di Pinto, Giulia Dileo +1
In 1990, D. Chinea and C. Gonzalez gave a classification of almost contact metric manifolds into classes, based on the behaviour of the covariant derivative o…