Sum of squares manifolds: The expressibility of the Laplace-Beltrami operator on pseudo-Riemannian manifolds as a sum of squares of vector fields

DOI10.1090/S0002-9947-98-02016-9zbMath0916.58042WikidataQ115284736 ScholiaQ115284736MaRDI QIDQ4211130

Wilfried H. Paus

Publication date: 10 September 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Laplace-Beltrami operatordifferential geometrypseudo-Riemannian manifoldsCartan-Kähler theoryexterior differential system

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Exterior differential systems (Cartan theory) (58A15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Sum of squares manifolds: The expressibility of the Laplace-Beltrami operator on pseudo-Riemannian manifolds as a sum of squares of vector fields

Cites Work

• Analysis of the Laplacian on a complete Riemannian manifold
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Manifolds, tensor analysis, and applications.
• On the wave equation on a compact Riemannian manifold without conjugate points
• Hypoelliptic second order differential equations
• Sum of squares manifolds: The expressibility of the Laplace-Beltrami operator on pseudo-Riemannian manifolds as a sum of squares of vector fields
• The Large Scale Structure of Space-Time
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