Strongly pseudo-convex CR space forms
For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection. We prove that a strongly pseudo-convex CR space form M is weakly locally pseudo-Hermitian symmetric if and only if (i) dim M = 3, (ii) M is a Sasak...
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-01-01
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| Series: | Complex Manifolds |
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| Online Access: | https://doi.org/10.1515/coma-2019-0014 |
| Summary: | For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection. We prove that a strongly pseudo-convex CR space form M is weakly locally pseudo-Hermitian symmetric if and only if (i) dim M = 3, (ii) M is a Sasakian space form, or (iii) M is locally isometric to the unit tangent sphere bundle T1(n+1) of a hyperbolic space n+1 of constant curvature −1. |
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| ISSN: | 2300-7443 |