Some problems of global analysis on asymptotically simple manifolds

M. Cantor

Compositio Mathematica (1979)

  • Volume: 38, Issue: 1, page 3-35
  • ISSN: 0010-437X

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Cantor, M.. "Some problems of global analysis on asymptotically simple manifolds." Compositio Mathematica 38.1 (1979): 3-35. <http://eudml.org/doc/89392>.

@article{Cantor1979,
author = {Cantor, M.},
journal = {Compositio Mathematica},
keywords = {Sobolev Spaces; Euler Equations for Perfect Fluid Flow; Spaces Of Asymptotically Euclidean Riemannian Metrics; Conformal Structures},
language = {eng},
number = {1},
pages = {3-35},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Some problems of global analysis on asymptotically simple manifolds},
url = {http://eudml.org/doc/89392},
volume = {38},
year = {1979},
}

TY - JOUR
AU - Cantor, M.
TI - Some problems of global analysis on asymptotically simple manifolds
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 38
IS - 1
SP - 3
EP - 35
LA - eng
KW - Sobolev Spaces; Euler Equations for Perfect Fluid Flow; Spaces Of Asymptotically Euclidean Riemannian Metrics; Conformal Structures
UR - http://eudml.org/doc/89392
ER -

References

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  2. [2] L. Bers, F. John and M. Schechter: Partial Differential Equations. A.M.S., 1964. MR163043
  3. [3] J.P. Bourguignon and H. Brezis: Remarks on the Euler equation. J. Funct. Anal.16 (1974) 341-363. Zbl0279.58005MR344713
  4. [4] M. Cantor: Perfect fluid flows over Rn with asymptotic conditions. J. Func. Anal.18 (1975) 73-84. Zbl0306.58007MR380872
  5. [5] M. Cantor: Spaces of functions with asymptotic conditions, Ind. U. Math. J.24, No. 9 (1975) 897-902. Zbl0441.46028MR365621
  6. [6] Y. Choquet-Bruhat, A.E. Fischer and J.E. Marsden: Maximal hypersurfaces and positivity of mass (preprint). 
  7. [7] D. Ebin: The manifold of Riemannian metrics, in: Proc. Symp. Pure Math. XV, Amer. Math. Soc.1970, 11-40. Zbl0205.53702MR267604
  8. [8] D. Ebin and J. Marsden: Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. Math.92 (1970) 102-153. Zbl0211.57401MR271984
  9. [9] A. Fischer and J. Marsden: Deformation of scalar curvature. Duke Math. J.42 (1975) 102-153. Zbl0336.53032MR380907
  10. [10] A. Fischer and J. Marsden: The manifold of conformally equivalent metrics, Can. J. Math.29, No. 1 (1977) 193-209. Zbl0358.58006MR445537
  11. [11] F. John: Plane Waves and Spherical Means Applied to Partial Differential Equations (Interscience Publishers, Inc., New York, 1955) pp. 65-71. Zbl0067.32101MR75429
  12. [12] H. Karcher: Riemannian center of mass and mollifier smoothing. Comm. Pure App. Math. to appear. Zbl0343.57020MR442975
  13. [13] S. Kobayashi and K. Nomizu: Foundations of Differential Geometry, I (Interscience, New York, 1963). Zbl0119.37502MR152974
  14. [14] S. Lang: Introduction to Differentiable Manifolds (Interscience, New York, 1962). Zbl0103.15101MR155257
  15. [15] J. Marsden: Applications of Global Analysis in Mathematical Physics (Publish or Perish, Inc., Boston, 1974). Zbl0367.58001MR646816
  16. [16] L. Nirenberg and H. Walker: The null spaces of elliptic partial differential operators in Rn, J. Math. Anal. App.47, no. 2, (1973) 271-301. Zbl0272.35029MR320821
  17. [17] R. Palais: Foundations of Global Non-Linear Analysis (W.A. Benjamin, Inc., New York, 1968). Zbl0164.11102MR248880
  18. [18] J.P. Penot: Une méthode pour construire des variétés d'applications au moyen d'un plognement. C.R. Acad. Sci. Paris, 266 (1968) 625-627. Zbl0198.56702MR231411
  19. [19] J. York, JR: Covariant decompositions of symmetric tensors in the theory of gravitation. Ann. Inst. Henri PoincaréXXI, No. 4 (1974) 319-332. Zbl0308.53018MR373548

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