Riemannian metrics on 2D manifolds related to the Euler-Poinsot rigid body problem

被引：0

作者：

Bonnard, Bernard ^{[1
]}

Cots, Olivier ^{[2
]}

Shcherbakova, Nataliya ^{[3
]}

机构：

[1] Univ Bourgogne, Inst Math Bourgogne, F-21078 Dijon, France

[2] INRIA Sophia Antipolis Mediterranee, F-06902 Sophia Antipolis, France

[3] Univ Toulouse, INPT, UPS, Lab Genie Chim, F-31432 Toulouse, France

来源：

2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2013年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The Euler-Poinsot rigid body problem is a well known model of left-invariant metrics on SO (3). In the present paper we discuss the properties of two related reduced 2D models: the sub-Riemanian metric of a system of three coupled spins and the Riemannian metric associated to the EulerPoinsot problem via the Serret-Andoyer reduction. We explicitly construct Jacobi fields and explain the structure of conjugate loci in the Riemannian case and give the first numerical results for the spin dynamics case.

引用

页码：1804 / 1809

页数：6

共 50 条

[31] A coupled variational principle for 2D interactions between water waves and a rigid body containing fluid
Ardakani, Hamid Alemi
[J]. JOURNAL OF FLUID MECHANICS, 2017, 827
[32] Sonic-supersonic solutions to a degenerate Cauchy-Goursat problem for 2D relativistic Euler equations
Fan, Yongqiang
Guo, Lihui
Hu, Yanbo
You, Shouke
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (01):
[33] Characteristics of motions in the 2D isosceles three-body problem with unequal masses
Orlov, VV
Martynova, AI
[J]. ASTRONOMY REPORTS, 2003, 47 (11) : 963 - 973
[34] Characteristics of motions in the 2D isosceles three-body problem with unequal masses
V. V. Orlov
A. I. Martynova
[J]. Astronomy Reports, 2003, 47 : 963 - 973
[35] Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation
Wang, Guodong
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 342 : 596 - 621
[36] A 2D Spectral-Element Simulation Tool For Rigid-Body Motion in Viscous Incompressible Flow
Chen, Li-Chieh
Huang, Mei-Jiau
[J]. JOURNAL OF THE CHINESE SOCIETY OF MECHANICAL ENGINEERS, 2015, 36 (05): : 449 - 460
[37] A 2D spectral-element simulation tool for rigid-body motion in viscous incompressible flow
Department of Mechanical Engineering, National Taiwan University, Taipei
10617, Taiwan
[J]. J Chin Soc Mech Eng Trans Chin Inst Eng Ser C, 5 (449-460): : 449 - 460
[38] An efficient method in the 2D problem on transient oscillations of the elastic half-space interacting with a rigid structure
Brigante, M.
Sumbatyan, M. A.
[J]. JOURNAL OF VIBRATION AND CONTROL, 2015, 21 (03) : 539 - 554
[39] On variational formulations with rigid-body constraints for finite elasticity: Applications to 2D and 3D finite element simulations
Chi, Heng
Paulino, Glaucio H.
[J]. MECHANICS RESEARCH COMMUNICATIONS, 2016, 78 : 15 - 26
[40] Utilizing a Novel 2D Image Processing System for Relating Body Composition Metrics to Performance in Collegiate Female Rowers
Esco, Michael R.
Holmes, Clifton J.
Sullivan, Katherine
Hornikel, Bjoern
Fedewa, Michael V.
[J]. INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH, 2021, 18 (05) : 1 - 9

← 1 2 3 4 5 →