On the space of asymptotically euclidean metrics

Lars Andersson

Compositio Mathematica (1989)

  • Volume: 69, Issue: 1, page 61-81
  • ISSN: 0010-437X

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Andersson, Lars. "On the space of asymptotically euclidean metrics." Compositio Mathematica 69.1 (1989): 61-81. <http://eudml.org/doc/89943>.

@article{Andersson1989,
author = {Andersson, Lars},
journal = {Compositio Mathematica},
keywords = {space of metrics; group of diffeomorphisms; asymptotically Euclidean metrics},
language = {eng},
number = {1},
pages = {61-81},
publisher = {Kluwer Academic Publishers},
title = {On the space of asymptotically euclidean metrics},
url = {http://eudml.org/doc/89943},
volume = {69},
year = {1989},
}

TY - JOUR
AU - Andersson, Lars
TI - On the space of asymptotically euclidean metrics
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 69
IS - 1
SP - 61
EP - 81
LA - eng
KW - space of metrics; group of diffeomorphisms; asymptotically Euclidean metrics
UR - http://eudml.org/doc/89943
ER -

References

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  1. 1 Bott, R. and Seeley, R.: Some remarks on a paper by Callias, Comm. Math. Phys.62 (1978) 235-245. Zbl0409.58019MR507781
  2. 2 Bourguignon, J.P.: Une stratification de l'espace des structures Riemanniennes, Comp. Math.30 (1975) 1-41. Zbl0301.58015MR418147
  3. 3 Cantor, M.: Spaces of functions with asymptotic conditions, Indiana Univ. Math. J.24 (1974) 897-902. Zbl0441.46028MR365621
  4. 4 Cantor, M.: Some problems of global analysis on asymptotically simple manifolds, Comp. Math.38 (1979) 3-35. Zbl0402.58004MR523260
  5. 5 Cantor, M.: Elliptic operators and the decomposition of tensor fields, Bull. A.M.S.5 (1981) 235-262. Zbl0481.58023MR628659
  6. 6 Choquet-Bruhat, Y., Fischer, A.E. and Marsden, J.E.: in J. Ehlers (ed.) Maximal Hyper-surfaces and Positivity of Mass, pp. 396-456, Italian Physical Society (1979). 
  7. 7 Choquet-Bruhat, Y. and Christodoulou, D.: Elliptic systems in Hs,δ spaces on manifolds which are Euclidean at infinity, Acta. Math.146 (1981) 129-150. Zbl0484.58028
  8. 8 Christodoulou, D. and O-Murchadha, N.: The Boost problem in general relativity, Comm. Math. Phys.80 (1980) 271-300. Zbl0477.35081MR623161
  9. 9 Ebin, D.: On the Space of Riemannian Metrics, Proc. A.M.S. Symp. Pure Math., Vol. 15, pp. 11-40, Am. Math. Soc., Providence, R.I. (1970). Zbl0205.53702MR267604
  10. 10 Fischer, A.: The theory of superspace, in L. Witten (ed.) Relativity, Plenum Press, New York (1970). MR347323
  11. 11 Isenberg, J. and Marsden, J.E.: A slice theorem for the space of solutions of Einsteins equations, Physics Reports89 (1982) 179-222. MR700931
  12. 12 Kobayashi, S.: Transformation Groups in Differential Geometry, Ergebnisse der Math., 70, Springer-Verlag, New York (1972). Zbl0246.53031MR355886
  13. 13 Lang, S.: Differential Manifolds, Addison-Wesley, Reading, Mass. (1972). Zbl0239.58001MR431240
  14. 14 Lockhart, R.B. and McOwen, R.C.: On elliptic systems in Rn, Acta Math.150 (1983) 125-135. Zbl0517.35031MR697610
  15. 15 Lockhart, R.B. and McOwen, R.C.: Correction to On elliptic systems in R n, Acta Math. (1984) 153. Zbl0569.35027MR766267
  16. 16 Nirenberg, L. and Walker, H.: Nullspaces of elliptic partial differential operators in Rn, J. Math. Anal. Appl.42 (1973) 271-230. Zbl0272.35029MR320821
  17. 17 O-Murchadha, N.: Total Energy Momentum in General Relativity, Preprint, Physics dept., U. College of Cork, Ireland. To appear in J. Math. Phys. Zbl0603.53045MR850597
  18. 18 Omori, H.: Infinite Dimensional Lie Transformation Groups, Lecture Notes in Mathematics, 427, Springer, Berlin (1974). Zbl0328.58005MR431262
  19. 19 York, J.: Kinematics and dynamics of general relativity, in Smarr, L. (ed.) Sources of Gravitational Radiation, pp. 83-126, Cambridge U.P., Cambridge (1979). Zbl0418.58016MR592635

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