Deformations of the scalar curvature of a partially integrable pseudohermitian manifold

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Title:	Deformations of the scalar curvature of a partially integrable pseudohermitian manifold
Authors:	Case, Jeffrey S.;Ho, Pak Tung
Keywords:	Partially integrable CR manifold;Pseudohermitian manifold;Tanaka–Webster scalar curvature;Deformation
Date:	2024-09-27
Issue Date:	2025-04-30 12:05:16 (UTC+8)
Publisher:	Springer
Abstract:	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
Relation:	The Journal of Geometric Analysis 34, p.354
DOI:	10.1007/s12220-024-01802-7
Appears in Collections:	[Graduate Institute & Department of Mechanical and Electro-Mechanical Engineering] Journal Article

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