Curvature of the Heisenberg Group

DOI10.1007/978-3-319-47512-7_3zbMath1366.53038OpenAlexW2585675500MaRDI QIDQ5268875

Bartek Ewertowski, Man-Wah Wong

Publication date: 21 June 2017

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-47512-7_3

zbMATH Keywords

Riemannian metricHeisenberg groupscalar curvatureRicci curvaturesectional curvatureRiemannian curvatureLevi-Civita connectionleft-invariant vector fields

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

On evolution of the classical heat and the quantum wave generated by the Laplacian on the Heisenberg group

Cites Work

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• The spectrum of the sub-Laplacian on the Heisenberg group
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Curvatures of left invariant metrics on Lie groups
• The Semigroup and the Inverse of the Laplacian on the Heisenberg Group

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