Do the Hodge spectra distinguish orbifolds from manifolds? Part 1
We examine 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.…
SHOWING 1-10 OF 14 REFERENCES
Isospectral orbifolds with different maximal isotropy orders
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…
One cannot hear orbifold isotropy type
Abstract.We show that the isotropy types of the singularities of Riemannian orbifolds are not determined by the Laplace spectrum. Indeed, we construct arbitrarily large families of mutually…
Asymptotic expansion of the heat kernel for orbifolds
We study the relationship between the geometry and the Laplace spectrum of a Riemannian orbifoldO via its heat kernel; as in the manifold case, the time-zero asymptotic expansion of the heat kernel…
Orbifold Spectral Theory
In this paper we study Sobolev spaces for smooth closed orientable Riemannian orbifolds. In particular we prove the Sobolev embedding theorem, the RellichKondrakov theorem and Poincare’s…
Harmonic maps of V-manifolds
We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. We obtain the first and second variations of bihar- monic maps on V-manifolds. Since a…
ON A GENERALIZATION OF THE NOTION OF MANIFOLD BY
where H is the product of the lengths of all the hooks in [X]. This formula is of general interest, since it gives a simple interpretation for the quotient n!/fX. Note that expression (2.2) is the…
ON A GENERALIZATION OF THE NOTION OF MANIFOLD.
- MathematicsProceedings of the National Academy of Sciences of the United States of America
It is remarked in conclusion that an operator approach to the reduction the skew diagram [X] [ ] is also available, and Feit's formula was devised accordingly.
On ne peut pas entendre l'orientabilité d'une surface
On montre qu'il existe des paires de surfaces plates, a bord, qui sont isospectrales pour le laplacien avec condition au bord de Neumann; l'une est orientable, l'autre ne l'est pas. Ces surfaces ne…
Erratum to ''Asymptotic expansion of the heat kernel for orbifolds''
PROFESSIONAL EXPERIENCE Professor, Department of Mathematics, Appalachian State University, 2009–present. Faculty Affiliate, Gender, Women’s & Sexuality Studies, Appalachian State University,…
Spectrum and the fixed point sets of isometries—II