A nonholonomic Laplace operator

DOI10.1007/BF01098021zbMath0791.53041MaRDI QIDQ1207888

V. Ya. Gershkovich, Anatoly M. Vershik

Publication date: 16 May 1993

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral functionsheat equationsCarnot-Caratheodory metrichypoharmonic functionsnon-holonomic distribution

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Elliptic equations on manifolds, general theory (58J05) Global Riemannian geometry, including pinching (53C20)

Cites Work

• On Carnot-Caratheodory metrics
• Nonholonomic problems and the theory of distributions
• Spectrum and its distribution function for a transversally elliptic operator
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques
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