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Bibliographic Details
Main Authors: Case, Jeffrey S., Ho, Pak Tung
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.07002
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Table of Contents:
  • We consider deformations of the scalar curvature of a partially integrable pseudohermitian manifold, in analogy with the work of Fischer and Marsden on Riemannian manifolds. In particular, we introduce and discuss $R$-singular spaces, give sufficient conditions for the stability of the scalar curvature, and give a partial infinitesimal rigidity result for the scalar curvature of a compact, torsion-free, scalar-flat, integrable pseudohermitian manifold.