Hearing exotic smooth structures
This paper explores the existence and properties of basic eigenvalues and eigenfunctions
associated with the Riemannian Laplacian on closed, connected Riemannian manifolds …
associated with the Riemannian Laplacian on closed, connected Riemannian manifolds …
Mean Curvature and the Wave Invariants of the Basic Spectrum for a Riemannian Foliation
MR Sandoval - arXiv preprint arXiv:2205.05603, 2022 - arxiv.org
Given a (possibly singular) Riemannian foliation $\mathcal {F} $ with closed leaves on a
compact manifold $ M $ with an adapted metric, we investigate the wave trace invariants for …
compact manifold $ M $ with an adapted metric, we investigate the wave trace invariants for …
Non-isometric Riemannian G-Manifolds with Equal Equivariant Spectra
Y Qin - Communications in Mathematics and Statistics, 2019 - Springer
In this paper, the author examines the two methods that people used to systematically
construct isospectral non-isometric Riemannian manifolds, the Sunada–Pesce–Sutton …
construct isospectral non-isometric Riemannian manifolds, the Sunada–Pesce–Sutton …
Leaf space isometries of singular Riemannian foliations and their spectral properties
IM Adelstein, MR Sandoval - São Paulo Journal of Mathematical Sciences, 2021 - Springer
In this note, the authors show by example that an isometry between leaf spaces of singular
Riemannian foliations need not induce an equality of the basic spectra. If the leaf space …
Riemannian foliations need not induce an equality of the basic spectra. If the leaf space …
[PDF][PDF] Leaf Spaces of Singular Riemannian Foliations and Applications to Spectral Geometry
MR Sandoval - 2016 - famaf.unc.edu.ar
1 The module ΞF of smooth vector fields that are tangent to the leaves is transitive on each
leaf in the sense that there exist a collection of smooth vector fields {Xi} on M such that for …
leaf in the sense that there exist a collection of smooth vector fields {Xi} on M such that for …