Abstract
We compute the Riemannian curvature of the Heisenberg group and then contract it to the sectional curvature, Ricci curvature and the scalar curvature of the Heisenberg group. The main result so obtained is that the Heisenberg group is a space of constant positive scalar curvature.
This research has been supported by the Natural Sciences and Engineering Council of Canada under Discovery Grant 0008562.
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Ewertowski, B., Wong, M.W. (2017). Curvature of the Heisenberg Group. In: Wong, M., Zhu, H. (eds) Pseudo-Differential Operators: Groups, Geometry and Applications. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-47512-7_3
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DOI: https://doi.org/10.1007/978-3-319-47512-7_3
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