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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)


The equation of prescribed Ricci curvature

Author: Dennis M. DeTurck
Journal: Bull. Amer. Math. Soc. 3 (1980), 701-704
MSC (1980): Primary 35A07, 53B20; Secondary 35J60, 35N99, 47H15, 53B30, 83C05
MathSciNet review: 571372
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References [Enhancements On Off] (What's this?)

  • 1. Dennis M. DeTurck, Metrics with prescribed Ricci curvature, Seminar on Differential Geometry, Ann. of Math. Stud., vol. 102, Princeton Univ. Press, Princeton, N.J., 1982, pp. 525–537. MR 645758 (83e:53014)
  • 2. Dennis M. DeTurck and Jerry L. Kazdan, Some regularity theorems in Riemannian geometry, Ann. Sci. École Norm. Sup. (4) 14 (1981), no. 3, 249–260. MR 644518 (83f:53018)
  • 3. Jacques Gasqui, Connexions à courbure de Ricci donnée, Math. Z. 168 (1979), no. 2, 167–179 (French). MR 544703 (80m:53028),
  • 4. Bernard Malgrange, Equations de Lie. II, J. Differential Geometry 7 (1972), 117–141 (French). MR 0326785 (48 #5128)
  • 5. J. Milnor, Problems of present-day mathematics (§XV. Differential Geometry), Proc. Sympos. Pure Math., vol. 28 (Mathematical Developments Arising from Hilbert Problems), Amer. Math. Soc., Providence, R. I., 1973, pp. 54-57.
  • 6. Louis Nirenberg, Lectures on linear partial differential equations, American Mathematical Society, Providence, R.I., 1973. Expository Lectures from the CBMS Regional Conference held at the Texas Technological University, Lubbock, Tex., May 22–26, 1972; Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 17. MR 0450755 (56 #9048)

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Additional Information

PII: S 0273-0979(1980)14800-4