Analysis of the horizontal Laplacian for the Hopf fibration

DOI10.1515/form.2005.17.6.903zbMath1113.35082arXivmath/0209127OpenAlexW1995730284WikidataQ125757770 ScholiaQ125757770MaRDI QIDQ5716249

Robert Otto Bauer

Publication date: 18 January 2006

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209127

zbMATH Keywords

Green's functionheat kernelhorizontal Laplacian

Mathematics Subject Classification ID

Heat equation (35K05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (5)

The subelliptic heat kernel on the CR sphere ⋮ The subelliptic heat kernels of the quaternionic Hopf fibration ⋮ Spectral analysis and geometry of a sub-Riemannian structure on \(S^3\) and \(S^7\) ⋮ Coherent states attached to the spectrum of the Bochner Laplacian for the Hopf fibration ⋮ The subelliptic heat kernel on \(\mathbf{SU}(2)\): representations, asymptotics and gradient bounds

Cites Work

• Asymptotic expansion of stochastic oscillatory integrals with rotation invariance
• Curvature and the eigenvalues of the Laplacian
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