Gauss–Bonnet theorems and the Lorentzian Heisenberg group

DOI10.3906/mat-2011-19zbMath1500.53072OpenAlexW3146008337WikidataQ114022796 ScholiaQ114022796MaRDI QIDQ5100237

Yong Wang, Tong Wu, Sining Wei

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2011-19

zbMATH Keywords

Gauss-Bonnet theoremLorentzian Heisenberg groupsub-Riemannian limitsecond Lorentzian metricthird Lorentzian metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Sub-Riemannian geometry (53C17)

Related Items (6)

Gauss-Bonnet theorem in lorentzian Sasakian space forms ⋮ Sub-Lorentzian geometry of curves and surfaces in a Lorentzian Lie group ⋮ Gauss-Bonnet theorem in the universal covering group of Euclidean motion group \(E(2)\) with the general left-invariant metric ⋮ Affine generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated to Yano connection ⋮ Gauss-Bonnet theorems for Lorentzian and spacelike surfaces associated to canonical connections in the Lorentzian Heisenberg group ⋮ Generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-nomizu connections

Cites Work

• Unnamed Item
• Gauss-Bonnet theorem in sub-Riemannian Heisenberg space \(\mathbb H^1\)
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds
• A note on the Gauss-Bonnet theorem for Finsler spaces
• Correction to: ``Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group
• Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group
• Lorentzian geometry of the Heisenberg group
• Analytic continuation, the Chern-Gauss-Bonnet theorem, and the Euler-Lagrange equations in Lovelock theory for indefinite signature metrics

This page was built for publication: Gauss–Bonnet theorems and the Lorentzian Heisenberg group