Add to ORKGWe examine the relationship between the singular set of a compact Riemann- ian orbifold and the spectrum of the Hodge Laplacian on p-forms by computing the heat invariants associated to the p-spectrum. We show that the heat invariants of the 0-spectrum together with those of the 1-spectrum for the corresponding Hodge Laplacians are suffcient to distinguish orbifolds with singularities from manifolds as long as the singular sets have codimension 3: This is enough to distinguish orbifolds from manifolds for dimension 3
We answer Mark Kac’s famous question [K], “can one hear the shape of a drum?” in the positive for or...
Incomplete cusp edges model the behavior of the Weil–Petersson metric on the compactified Riemann mo...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
AbstractThe central aim of this paper is the study of the spectrum of the Hodge Laplacian on differe...
Historically, inverse spectral theory has been concerned with the relationship between the geometry ...
Abstract Which properties of an orbifold can we “hear, ” i.e., which topological and geometric prope...
The essential spectrum of the Laplacian on functions over a noncompact Riemannian manifold has been ...
An orbifold is a singular space which is locally modeled on the quotient of a smooth manifold by a s...
In a connected and compact Riemannian Manifold we will introduce the concept of spectre of Laplace o...
Includes bibliographical references (page 61)We study the eigenvalue problem for the Hodge Laplacian...
AbstractLet O2n be a symplectic toric orbifold with a fixed Tn-action and with a toric Kähler metric...
The following theorem is proved: if (M4n+1; g) is a complete Riemannian manifold and M is an orie...
Let O-2n be a symplectic toric orbifold with a fixed T-n-action and with a tonic Kahler metric g. In...
Differential operators that are defined on a differentiable manifold can be used to study various pr...
In this article we prove that, over complete manifolds of dimension $n$ with vanishing curvature at ...
We answer Mark Kac’s famous question [K], “can one hear the shape of a drum?” in the positive for or...
Incomplete cusp edges model the behavior of the Weil–Petersson metric on the compactified Riemann mo...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
AbstractThe central aim of this paper is the study of the spectrum of the Hodge Laplacian on differe...
Historically, inverse spectral theory has been concerned with the relationship between the geometry ...
Abstract Which properties of an orbifold can we “hear, ” i.e., which topological and geometric prope...
The essential spectrum of the Laplacian on functions over a noncompact Riemannian manifold has been ...
An orbifold is a singular space which is locally modeled on the quotient of a smooth manifold by a s...
In a connected and compact Riemannian Manifold we will introduce the concept of spectre of Laplace o...
Includes bibliographical references (page 61)We study the eigenvalue problem for the Hodge Laplacian...
AbstractLet O2n be a symplectic toric orbifold with a fixed Tn-action and with a toric Kähler metric...
The following theorem is proved: if (M4n+1; g) is a complete Riemannian manifold and M is an orie...
Let O-2n be a symplectic toric orbifold with a fixed T-n-action and with a tonic Kahler metric g. In...
Differential operators that are defined on a differentiable manifold can be used to study various pr...
In this article we prove that, over complete manifolds of dimension $n$ with vanishing curvature at ...
We answer Mark Kac’s famous question [K], “can one hear the shape of a drum?” in the positive for or...
Incomplete cusp edges model the behavior of the Weil–Petersson metric on the compactified Riemann mo...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...