Spectral analysis and geometry of a sub-Riemannian structure on \(S^3\) and \(S^7\)

DOI10.1016/j.geomphys.2008.07.011zbMath1218.58023OpenAlexW1973418710WikidataQ115353378 ScholiaQ115353378MaRDI QIDQ958980

Kenro Furutani, Wolfram Bauer

Publication date: 10 December 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2008.07.011

zbMATH Keywords

heat kernelsub-LaplacianHörmander conditionsub-Riemannian manifoldspectral zeta functionChow conditionquaternion and Cayley number fields

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Determinants and determinant bundles, analytic torsion (58J52) Sub-Riemannian geometry (53C17)

Related Items (6)

Spectral zeta function on pseudo \(H\)-type nilmanifolds ⋮ A codimension 3 sub-Riemannian structure on the Gromoll-Meyer exotic sphere ⋮ Trivializable sub-Riemannian structures on spheres ⋮ Sub-Riemannian geometry of parallelizable spheres ⋮ Hopf fibration: Geodesics and distances ⋮ Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant

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