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arXiv · 1304.3201

CR-structures of codimension 2 on tangent bundles in Riemann-Finsler geometry

Mircea Crasmareanu·Laurian-Ioan Pişcoran
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Abstract

We determine a 2-codimensional CR-structure on the slit tangent bundle $T_0M$ of a Finsler manifold $(M, F)$ by imposing a condition regarding the almost complex structure $\Psi$ associated to $F$ when restricted to the structural distribution of a framed $f$-structure. This condition is satisfied when $(M, F)$ is of scalar flag curvature (particularly flat) and in the Riemannian case $(M, g)$ this last condition means that $g$ is of constant curvature. This CR-structure is finally generalized by using one positive number but under more difficult conditions.

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Mircea Crasmareanu, Laurian-Ioan Pişcoran. 2013-04-11. CR-structures of codimension 2 on tangent bundles in Riemann-Finsler geometry. https://arxiv.org/abs/1304.3201

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