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Статья
2018

The Contact Metric Connection on the Heisenberg Group


V. I. Pan’zhenskiiV. I. Pan’zhenskii, T. R. KlimovaT. R. Klimova
Русская математика
https://doi.org/10.3103/S1066369X18110051
Abstract / Full Text

We prove that there is only one contact metric connection with skew-torsion on the Heisenberg group endowed with a left-invariant Sasakian structure. We obtain the expression of this connection via the contact form and the metric tensor, and show that the torsion tensor and the curvature tensor are constant and the sectional curvature varies between −1 and 0.

Author information
  • Pedagogical Institute named after V. G. Belinskii, ul. Lermontova 37, Penza, 440026, RussiaV. I. Pan’zhenskii & T. R. Klimova
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