Generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-Nomizu connections

S Azami - Journal of Nonlinear Mathematical Physics, 2023 - Springer
Generalized Ricci Solitons of Three-Dimensional Lorentzian Lie Groups Associated Canonical
Connections and Kobayashi-Nomizu Connections | Journal of Nonlinear Mathematical …

Gauss-Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane

Y Wang, S Wei - Science China Mathematics, 2021 - Springer
In this paper, we compute sub-Riemannian limits of Gaussian curvature for a Euclidean C 2-
smooth surface in the affine group and the group of rigid motions of the Minkowski plane …

Gauss-Bonnet theorems and the Lorentzian Heisenberg group

T Wu, S Wei, Y Wang - Turkish Journal of Mathematics, 2021 - journals.tubitak.gov.tr
In this paper, we compute sub-Riemannian limits of Gaussian curvature for a C $^{2} $-
smooth surface in the Lorentzian Heisenberg group for the second Lorentzian metric and the …

The Sub‐Riemannian Limit of Curvatures for Curves and Surfaces and a Gauss‐Bonnet Theorem in the Group of Rigid Motions of Minkowski Plane with General Left …

J Guan, H Liu - Journal of Function Spaces, 2021 - Wiley Online Library
The group of rigid motions of the Minkowski plane with a general left‐invariant metric is
denoted by (E (1, 1), g (λ1, λ2)), where λ1≥ λ2> 0. It provides a natural 2‐parametric …

Correction to: Intrinsic curvature of curves and surfaces and a Gauss–Bonnet theorem in the Heisenberg group

ZM Balogh, JT Tyson, E Vecchi - Mathematische Zeitschrift, 2020 - Springer
Correction to: Intrinsic curvature of curves and surfaces and a Gauss–Bonnet theorem in the
Heisenberg group | Mathematische Zeitschrift Skip to main content SpringerLink Account …

Affine Ricci solitons of three-dimensional Lorentzian Lie groups

Y Wang - Journal of nonlinear mathematical physics, 2021 - Springer
In this paper, we classify affine Ricci solitons associated to canonical connections and
Kobayashi-Nomizu connections and perturbed canonical connections and perturbed …

Heat content asymptotics for sub-Riemannian manifolds

L Rizzi, T Rossi - Journal de Mathématiques Pures et Appliquées, 2021 - Elsevier
We study the small-time asymptotics of the heat content of smooth non-characteristic
domains of a general rank-varying sub-Riemannian structure, equipped with an arbitrary …

Gauss–Bonnet Theorems in the BCV Spaces and the Twisted Heisenberg Group

Y Wang, S Wei - Results in Mathematics, 2020 - Springer
In this paper, we compute sub-Riemannian limits of Gaussian curvature for a Euclidean C^ 2
C 2-smooth surface in the BCV spaces and the twisted Heisenberg group away from …

The Sub‐Riemannian Limit of Curvatures for Curves and Surfaces and a Gauss–Bonnet Theorem in the Rototranslation Group

H Liu, J Miao, W Li, J Guan - Journal of Mathematics, 2021 - Wiley Online Library
The rototranslation group ℛ T is the group comprising rotations and translations of the
Euclidean plane which is a 3‐dimensional Lie group. In this paper, we use the Riemannian …

Gauss-Bonnet Theorem in the Universal Covering Group of Euclidean Motion Group E(2) with the General Left-Invariant Metric

W Li, H Liu - Journal of Nonlinear Mathematical Physics, 2022 - Springer
The universal covering group of Euclidean motion group E (2) with the general left-invariant
metric is denoted by (E (2)~, g L (λ 1, λ 2)), where λ 1≥ λ 2> 0. It is one of three-dimensional …