Strongly pseudo-convex CR space forms
Keyword(s):
AbstractFor 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.
2019 ◽
pp. 2050157
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1983 ◽
Vol 90
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pp. 85-117
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2003 ◽
Vol 2003
(9)
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pp. 539-547
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1999 ◽
Vol 66
(3)
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pp. 379-387
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1987 ◽
Vol 105
(1)
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pp. 17-22
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