Torsion-free connections on G-structures

被引：0

作者：

Flamencourt, Brice ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Geometrie & Topol, Fachbereich Math, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2023年 / 91卷

关键词：

G-structures; Connections; Conformal geometry; Weyl structures;

D O I：

10.1016/j.difgeo.2023.102075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that for a Lie group SOn(R) subset of G subset of GLn(R), any G-structure on a smooth manifold can be endowed with a torsion free connection which is locally the Levi-Civita connection of a Riemannian metric in a given conformal class. In this process, we classify the admissible groups.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：6

共 41 条

[31] Semi-rigid column-base connections in pultruded GRP frame structures
Turvey, GJ
Cooper, C
COMPUTERS & STRUCTURES, 2000, 76 (1-3) : 77 - 88
[32] G*2(2)-Structures on pseudo-Riemannian manifolds
Kath, I
JOURNAL OF GEOMETRY AND PHYSICS, 1998, 27 (3-4) : 155 - 177
[33] Experimental behavior of transfer story connections for high-rise SRC structures under seismic loading
Wang, Wei
Chen, Yiyi
Dong, Baiping
Leon, Roberto T.
EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 2011, 40 (09) : 961 - 975
[34] Behaviour and repair of carpentry connections - Rotational behaviour of the rafter and tie beam connection in timber roof structures
Palma, Pedro
Garcia, Helena
Ferreira, Joao
Appleton, Joao
Cruz, Helena
JOURNAL OF CULTURAL HERITAGE, 2012, 13 (03) : S64 - S73
[35] Annotation-free defect detection for glasses based on convolutional auto-encoder with skip connections
Xu, Han
Huang, Zheng
MATERIALS LETTERS, 2021, 299
[36] Brittle failure of laterally loaded self-tapping screw connections for cross-laminated timber structures
Azinovic, Boris
Cabrero, Jose Manuel
Danielsson, Henrik
Pazlar, Tomaz
ENGINEERING STRUCTURES, 2022, 266
[37] Influence of the method of numerical modelling of the connections of the roof truss and vaults with the walls of historic masonry structures on local stress distribution
Miedzialowski, Czeslaw
Szkobodzinski, Marcin
Czech, Krzysztof Robert
ARCHIVES OF CIVIL ENGINEERING, 2022, 68 (04) : 127 - 145
[38] Possible Geometries for Precast Concrete Structures, through Discussing New Connections, Robotic Manufacturing and Re-Utilisation of the Concrete Elements
Baghdadi, Abtin
Ledderose, Lukas
Kloft, Harald
BUILDINGS, 2024, 14 (01)
[39] Investigating the behaviour of typical and designed wall-to-floor connections in light-frame wood stud wall structures subjected to blast loading
Viau, Christian
Doudak, Ghasan
CANADIAN JOURNAL OF CIVIL ENGINEERING, 2016, 43 (06) : 562 - 572
[40] TET deficiency perturbs mature B cell homeostasis and promotes oncogenesis associated with accumulation of G-quadruplex and R-loop structures
Shukla, Vipul
Samaniego-Castruita, Daniela
Dong, Zhen
Gonzalez-Avalos, Edahi
Yan, Qingqing
Sarma, Kavitha
Rao, Anjana
NATURE IMMUNOLOGY, 2022, 23 (01) : 99 - +

← 1 2 3 4 5 →