Deformations of the scalar curvature of a partially integrable pseudohermitian manifold
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909165595656192 |
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| author | Case, Jeffrey S. Ho, Pak Tung |
| author_facet | Case, Jeffrey S. Ho, Pak Tung |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07002 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformations of the scalar curvature of a partially integrable pseudohermitian manifold Case, Jeffrey S. Ho, Pak Tung Differential Geometry 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. |
| title | Deformations of the scalar curvature of a partially integrable pseudohermitian manifold |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2404.07002 |