Sub-Laplacian eigenvalue bounds on sub-Riemannian manifolds

DOI10.2422/2036-2145.201409_005zbMath1390.35205arXiv1407.0358OpenAlexW3104967301WikidataQ115228262 ScholiaQ115228262MaRDI QIDQ2964263

Gerasim Kokarev, Asma Hassannezhad

Publication date: 23 February 2017

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0358

zbMATH Keywords

sub-Riemannian manifoldssub-Laplacian operatorSasakian Manifold

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral theory; eigenvalue problems on manifolds (58C40) Sub-Riemannian geometry (53C17) Analysis on CR manifolds (32V20)

Related Items (12)

Heat trace asymptotics on equiregular sub-Riemannian manifolds ⋮ Fourier multipliers and group von Neumann algebras ⋮ Upper bound estimates of eigenvalues for Hörmander operators on non-equiregular sub-Riemannian manifolds ⋮ Systolic inequalities for compact quotients of Carnot groups with Popp's volume ⋮ Stochastic gradient descent with noise of machine learning type. II: Continuous time analysis ⋮ Laplacians on smooth distributions ⋮ An update on the \(L^p-L^q\) norms of spectral multipliers on unimodular Lie groups ⋮ Schatten-von Neumann classes of integral operators ⋮ Riemannian metrics and Laplacians for generalized smooth distributions ⋮ \(L^p-L^q\) multipliers on locally compact groups ⋮ Bounds for Laplace eigenvalues of Kähler metrics ⋮ A note on spectral multipliers on Engel and Cartan groups

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