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Connected sums and the infimum of the Yamabe functional

Part of the Lecture Notes in Mathematics book series (LNM,volume 1209)

Keywords

  • Riemannian Manifold
  • Scalar Curvature
  • Compact Manifold
  • Compact Riemannian Manifold
  • Constant Scalar Curvature

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References

  1. AUBIN, T.-"Equations différentielles non linéaires et problème de Yamabe concernant la coubure scalaire" J. Math. pues et appl. 55 (1976) 269–296.

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  2. AUBIN, T.-"Nonlinear Analysis on Manifolds. Monge-Ampère Equations". Springer, New-York, 1982.

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  3. AVEZ, A.-"Valeur moyenne du scalaire de courbure sur une variété compacte. Applications relativistes". C.R. Acad. Sci. Paris 256(1963), 5271–5273.

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  4. GIL-MEDRANO, O.-"On the Yamabe Problem concerning the compact locally conformally flat manifolds". To appear in J. of Funct. Anal.

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  5. YAMABE, H.-"On the deformation of Riemannian structures on compact manifolds". Osaka Math. J. 12(1960) 21–37.

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© 1986 Springer-Verlag

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Gil-Medrano, O. (1986). Connected sums and the infimum of the Yamabe functional. In: Naveira, A.M., Ferrández, A., Mascaró, F. (eds) Differential Geometry Peñíscola 1985. Lecture Notes in Mathematics, vol 1209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076629

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  • DOI: https://doi.org/10.1007/BFb0076629

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16801-0

  • Online ISBN: 978-3-540-44844-0

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