Spaces of functions with asymptotic conditions and existence of non compact maximal submanifolds of a Lorentzian manifold

DOI10.1007/BF00399740zbMath0368.46011MaRDI QIDQ1243078

J. Lacaze, Daniel Bancel

Publication date: 1977

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Variational principles of physics (49S05)

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Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity

Cites Work

• The existence of maximal slicings in asymptotically flat spacetimes
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity
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