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Contact projective structures. (English) Zbl 1093.53083
An analogue of the Beltrami theorem is proved for pseudo-Hermitian manifolds with transverse symmetry. Theorem: The contact projective structure induced by an integrable pseudo-Hermitian structure having transverse symmetry is flat if and only if the pseudo-Hermitian structure has constant sectional curvature.

MSC:
53D10 Contact manifolds (general theory)
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53B10 Projective connections
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