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Supported Blow Up and Prescribed Scalar Curvature on S n Book PDF Summary

The author expounds the notion of supported blow-up and applies it to study the renowned Nirenberg/Kazdan-Warner problem on $S^n$. When $n \ge 5$ and under some mild conditions, he shows that blow-up at a point with positive definite Hessian has to be a supported isolated blow-up, which, when combined with a uniform volume bound, is a removable singularity. A new asymmetric condition is introduced to exclude single simple blow-up. These enable the author to obtain a general existence theorem for $n \ge 5$ with rather natural condition.

Detail Book of Supported Blow Up and Prescribed Scalar Curvature on S n PDF

Supported Blow Up and Prescribed Scalar Curvature on  S n
  • Author : Man Chun Leung
  • Release : 21 September 2024
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821853375
  • Genre : Mathematics
  • Total Page : 112 pages
  • Language : English
  • PDF File Size : 17,5 Mb

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