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The left invariant metrics which is defined on Heisenberg group. (English) Zbl 1136.53320

Some curvatures are computed by left invariant metrics. An important role is played by the Heisenberg manifold. The curvatures are calculated from various vector fields.

MSC:

53C30 Differential geometry of homogeneous manifolds
53B21 Methods of local Riemannian geometry
70H03 Lagrange’s equations
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