The laplacian on asymptotically flat manifolds and the specification of scalar curvature

Murray Cantor; Dieter Brill

Compositio Mathematica (1981)

  • Volume: 43, Issue: 3, page 317-330
  • ISSN: 0010-437X

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Cantor, Murray, and Brill, Dieter. "The laplacian on asymptotically flat manifolds and the specification of scalar curvature." Compositio Mathematica 43.3 (1981): 317-330. <http://eudml.org/doc/89504>.

@article{Cantor1981,
author = {Cantor, Murray, Brill, Dieter},
journal = {Compositio Mathematica},
keywords = {Laplacian; weighted Sobolev spaces; asymptotically flat metric; conformally equivalent; vanishing scalar curvature},
language = {eng},
number = {3},
pages = {317-330},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {The laplacian on asymptotically flat manifolds and the specification of scalar curvature},
url = {http://eudml.org/doc/89504},
volume = {43},
year = {1981},
}

TY - JOUR
AU - Cantor, Murray
AU - Brill, Dieter
TI - The laplacian on asymptotically flat manifolds and the specification of scalar curvature
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 43
IS - 3
SP - 317
EP - 330
LA - eng
KW - Laplacian; weighted Sobolev spaces; asymptotically flat metric; conformally equivalent; vanishing scalar curvature
UR - http://eudml.org/doc/89504
ER -

References

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  12. [12] J. Kazden and F. Warner: Scalar curvature and conformal deformation of Riemannian structure, J. Diff. Geom., 10 (1975) 113-134. Zbl0296.53037MR365409
  13. [13] J. Kazden and F. Warner: Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures, Ann. Math., 101, #2 (1975) 317-331. Zbl0297.53020MR375153
  14. [14] R. Mcowen: On Elliptic Operators on Rn, (to appear in Comm. P.D.E.). Zbl0448.35042
  15. [15] J.A. Wheeler: Geometrodynamics and the issue of the final state, in Relativity, Groups, and Topology, (1964) (ed. by DeWitt and DeWitt). Gordon and Breach, New York. Zbl0148.46204MR168332

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