Zobrazeno 1 - 10
of 2 855
pro vyhledávání: '"canonical connection"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 14504-14524 (2024)
In this article, the investigation into the Lie symmetry algebra of the geodesic equations of the canonical connection on a Lie group was continued. The key ideas of Lie group, Lie algebra, linear connection, and symmetry were quickly reviewed. The f
Externí odkaz:
https://doaj.org/article/8c4662a58c3b4371bf71a44a1e658d77
Autor:
Zhang, Han1 (AUTHOR), Liu, Haiming1 (AUTHOR) liuhm468@nenu.edu.cn
Publikováno v:
Mathematics (2227-7390). Jun2024, Vol. 12 Issue 11, p1683. 25p.
Akademický článek
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Akademický článek
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Autor:
Han Zhang, Haiming Liu
Publikováno v:
Mathematics, Vol 12, Iss 11, p 1683 (2024)
The aim of this paper is to obtain the sub-Riemannian properties of the roto-translation group RT. At the same time, we compute the sub-Riemannian limits of Gaussian curvature associated with two kinds of canonical connections for a C2-smooth surface
Externí odkaz:
https://doaj.org/article/c9ebe88e342641e1b751f0ac25188791
Autor:
Biswas, Indranil, Hurtubise, Jacques
We investigate the symplectic geometric and differential geometric aspects of the moduli space of connections on a compact Riemann surface $X$. Fix a theta characteristic $K^{1/2}_X$ on $X$; it defines a theta divisor on the moduli space ${\mathcal M
Externí odkaz:
http://arxiv.org/abs/2102.00624
This paper studies the canonical symmetric connection $\nabla$ associated to any Lie group $G$. The salient properties of $\nabla$ are stated and proved. The Lie symmetries of the geodesic system of a general linear connection are formulated. The res
Externí odkaz:
http://arxiv.org/abs/2101.05461
The notion of Kodaira dimension has recently been extended to general almost complex manifolds. In this paper we focus on the Kodaira dimension of almost K\"ahler manifolds, providing an explicit computation for a family of almost K\"ahler threefolds
Externí odkaz:
http://arxiv.org/abs/1908.11328
Autor:
Eastwood, Michael, Neusser, Katharina
We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it with the Tanaka-Webster connection in the three-dimensional case.
Externí odkaz:
http://arxiv.org/abs/1604.05392
Autor:
Barilari, Davide, Rizzi, Luca
Publikováno v:
Archivum mathematicum, 53 (2017), no. 2, 77-92
In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like invariants. We show that these coefficients can be interpreted as the curvature of a canonical Ehresmann connection associated to the metric, first introduced in
Externí odkaz:
http://arxiv.org/abs/1506.01827