Corpus ID: 235458134

Prescribing Morse scalar curvatures: incompatibility of non existence

@inproceedings{Mayer2021PrescribingMS,
  title={Prescribing Morse scalar curvatures: incompatibility of non existence},
  author={M. Mayer},
  year={2021}
}
Given a closed manifold of positive Yamabe invariant and for instance positive Morse functions upon it, the conformally prescribed scalar curvature problem raises the question, whether or not such functions can by conformally changing the metric be realised as the scalar curvature of this manifold. As we shall quantify, the answer is depending on the complexity of these functions most likely yes and, if one such Morse function happens not to be conformally prescribable, most others can and this… Expand
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