TY - JOUR
T1 - Deformations of the Scalar Curvature of a Partially Integrable Pseudohermitian Manifold
AU - Case, Jeffrey S.
AU - Ho, Pak Tung
N1 - Publisher Copyright:
© Mathematica Josephina, Inc. 2024.
PY - 2024/12
Y1 - 2024/12
N2 - 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.
AB - 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.
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U2 - 10.1007/s12220-024-01802-7
DO - 10.1007/s12220-024-01802-7
M3 - Article
AN - SCOPUS:85205474638
SN - 1050-6926
VL - 34
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
IS - 12
M1 - 354
ER -