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arXiv · 2502.07073

Hidden symmetries and the generic spectral setting of generalized laplacians on homogeneous spaces

Diego S. De Oliveira·Marcus A. M. Marrocos
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Abstract

The purpose of this work is to establish the spectral setting of some generalized Laplace operators associated to a generic $G$-invariant metric on a compact homogeneous space $M=G/K$. We show that this generic spectral configuration depends on the $G$-isometries and on some certain hidden symmetries constructed in the adjacent structures of $M$ and of these operators.

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Diego S. De Oliveira, Marcus A. M. Marrocos. 2025-02-10. Hidden symmetries and the generic spectral setting of generalized laplacians on homogeneous spaces. https://arxiv.org/abs/2502.07073

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