Orbifold spectral theory
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Publication:5940639
DOI10.1216/rmjm/1008959678zbMath0977.58025OpenAlexW2044866568MaRDI QIDQ5940639
Publication date: 12 August 2001
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL31-1/CONT31-1/CONT31-1.html
Related Items (20)
The Weyl functional on 4-manifolds of positive Yamabe invariant ⋮ An orbifold relative index theorem ⋮ Equivariant Alexandrov geometry and orbifold finiteness ⋮ Spectral and geometric bounds on 2-orbifold diffeomorphism type ⋮ Equivariant discretizations of diffusions and harmonic functions of bounded growth ⋮ Classical and quantum ergodicity on orbifolds ⋮ Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold ⋮ The twisted Selberg trace formula and the twisted Selberg zeta function for compact orbifolds ⋮ Hearing the weights of weighted projective planes ⋮ Orbifold homeomorphism finiteness based on geometric constraints ⋮ Approximating orbifold spectra using collapsing connected sums ⋮ $\Gamma $-extensions of the spectrum of an orbifold ⋮ The spectral function of a Riemannian orbifold ⋮ Spectral bounds on orbifold isotropy ⋮ Eigenforms of the Laplacian for Riemannian \(V\)-submersions ⋮ Dirac operators on non-compact orbifolds ⋮ Asymptotic expansion of the heat kernel for orbifolds ⋮ You can hear the local orientability of an orbifold ⋮ Orbifold index cobordism invariance ⋮ Entropy and finiteness of groups with acylindrical splittings
Cites Work
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- Heat kernel estimates and lower bound of eigenvalues
- The signature theorem for V-manifolds
- Asymptotic expansions for the compact quotients of properly discontinuous group actions
- An isoperimetric inequality for orbifolds
- Sobolev spaces on Riemannian manifolds
- Harmonic maps of V-manifolds
- On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold
- K-THEORETICAL INDEX THEOREMS FOR ORBIFOLDS
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