We adopt the methods of psudohermitian geometry (cf. [16]) to study the tangent sphere bundle $U(M)$ over a Riemannian manifold $M$. If $M$ is an elliptic space form of sectional curvature 1 then $U(M)$ is shown to be globally pseudo-Einstein (in the sense of J. M. Lee [12]).
On the CR structure of the tangent sphere bundle
BARLETTA, Elisabetta;DRAGOMIR, Sorin
1995-01-01
Abstract
We adopt the methods of psudohermitian geometry (cf. [16]) to study the tangent sphere bundle $U(M)$ over a Riemannian manifold $M$. If $M$ is an elliptic space form of sectional curvature 1 then $U(M)$ is shown to be globally pseudo-Einstein (in the sense of J. M. Lee [12]).File in questo prodotto:
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