Multiple Point Blowup Phenomenon in Scalar Curvature Equations on Spheres of Dimension Greater Than Three

  • Yanyan Li
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 20)

Abstract

Let (S n,g o) be the standard n—sphere. The following question was raised by L. Nirenberg. Which function K on S2 is the Gauss curvature of a metric g on S 2 conformally equivalent to g o? Naturally one may ask a similar question in higher dimensional case, namely, which function K on S n is the scalar curvature of a metric g on Sn conformally equivalent to g o?

Keywords

Manifold Lawson 

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Copyright information

© Birkhäuser Boston 1996

Authors and Affiliations

  • Yanyan Li
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

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