Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Rossetti, Juan Pablo"'
We prove that the spectrum of the Kohn Laplacian does not determine the equivalence classes of CR manifolds. We construct pairs of odd-dimensional elliptic manifolds that are not equivalent as CR manifolds but whose Kohn Laplacians have the same spec
Externí odkaz:
http://arxiv.org/abs/2312.15214
Autor:
Gittins, Katie, Gordon, Carolyn, Solis, Ingrid Membrillo, Rossetti, Juan Pablo, Sandoval, Mary, Stanhope, Elizabeth
In \cite{GGKM-SSS} we examined the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on $p$-forms by computing the heat invariants associated to the $p$-spectrum. We showed that the heat in
Externí odkaz:
http://arxiv.org/abs/2311.00337
Publikováno v:
Sao Paulo J. Math. Sci. 15:1 (2021), 240-267
In this paper we report on recent results by several authors, on the spectral theory of lens spaces and orbifolds and similar locally symmetric spaces of rank one. Most of these results are related to those obtained by the authors in [IMRN (2016), 10
Externí odkaz:
http://arxiv.org/abs/1904.01146
Publikováno v:
Contemporary Mathematics 656 (2016), 95-118
In this paper we describe recent results on explicit construction of lens spaces that are not strongly isospectral, yet they are isospectral on $p$-forms for every $p$. Such examples cannot be obtained by the Sunada method. We also discuss related re
Externí odkaz:
http://arxiv.org/abs/1505.02554
Publikováno v:
Int. Math. Res. Not. IMRN 2016, 1054-1089
To every $n$-dimensional lens space $L$, we associate a congruence lattice $\mathcal L$ in $\mathbb Z^m$, with $n=2m-1$ and we prove a formula relating the multiplicities of Hodge-Laplace eigenvalues on $L$ with the number of lattice elements of a gi
Externí odkaz:
http://arxiv.org/abs/1311.7167
Publikováno v:
J. Geom. Anal. 25 (2015), 564-591
We study the $p$-spectrum of a locally symmetric space of constant curvature $\Gamma\backslash X$, in connection with the right regular representation of the full isometry group $G$ of $X$ on $L^2(\Gamma\backslash G)_{\tau_p}$, where $\tau_p$ is the
Externí odkaz:
http://arxiv.org/abs/1209.4916
Autor:
Doyle, Peter G., Rossetti, Juan Pablo
Using the Selberg trace formula, we show that for a hyperbolic 2-orbifold, the spectrum of the Laplacian acting on functions determines, and is determined by, the following data: the volume; the total length of the mirror boundary; the number of cone
Externí odkaz:
http://arxiv.org/abs/1103.4372
Publikováno v:
Revista Matem\'atica Iberoamericana Volume 29 (2013) 611--634
For any $n\geq 7$, $k\geq 3$, we give pairs of compact flat $n$-manifolds $M, M'$ with holonomy groups $\mathbb Z_2^k$, that are strongly isospectral, hence isospectral on $p$-forms for all values of $p$, having nonisomorphic cohomology rings. Moreov
Externí odkaz:
http://arxiv.org/abs/1103.0249
Publikováno v:
Ann. Glob. Anal. Geom. 34 (2008), 351 - 366
We construct pairs of compact Riemannian orbifolds which are isospectral for the Laplace operator on functions such that the maximal isotropy order of singular points in one of the orbifolds is higher than in the other. In one type of examples, isosp
Externí odkaz:
http://arxiv.org/abs/0710.2432
Autor:
Doyle, Peter G., Rossetti, Juan Pablo
Publikováno v:
New York J. Math. 14 (2008) 193-2004
We show that if two closed hyperbolic surfaces (not necessarily orientable or even connected) have the same Laplace spectrum, then for every length they have the same number of orientation-preserving geodesics and the same number of orientation-rever
Externí odkaz:
http://arxiv.org/abs/math/0605765