The remainder in Weyl's law for Heisenberg manifolds

DOI10.4310/jdg/1090351124zbMath1066.58017OpenAlexW1529765685WikidataQ115201725 ScholiaQ115201725MaRDI QIDQ1423993

John A. Toth, Yiannis N. Petridis

Publication date: 8 March 2004

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1090351124

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Geodesics in global differential geometry (53C22) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (7)

Cramér's formula for Heisenberg manifolds ⋮ The remainder in Weyl’s law for 𝑛-dimensional Heisenberg manifolds ⋮ Spectra of Sol-manifolds: Arithmetic and quantum monodromy ⋮ Sign changes of the error term in Weyl’s law for Heisenberg manifolds ⋮ A lower bound for the error term in Weyl's law for certain Heisenberg manifolds. II. ⋮ On the error term in Weyl's law for the Heisenberg manifolds. II ⋮ Lower bounds for the spectral function and for the remainder in local Weyl’s law on manifolds

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