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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…
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 of…
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…
-Killing Spinors and Spinorial Duality for Homogeneous 3--Sasaki Manifolds
Ilka Agricola, Jordan Hofmann
We show that --Sasaki manifolds admit solutions of a certain new spinorial field equation (the -Killing equation) generalizing the well-known Killing spinors…
Curvature Properties of 3--Sasaki Manifolds
Ilka Agricola, Giulia Dileo, Leander Stecker
We investigate curvature properties of 3--Sasaki manifolds, a special class of almost 3-contact metric manifolds generalizing 3-Sasaki manifolds (corresponding to )…