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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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
De Gruyter
2019
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/624bef523df04ddb9129659f2d9b7a8b |
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| Sumario: | 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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