Results 111 to 120 of about 9,754 (219)

A Riemannian-Geometry Approach for Modeling and Control of Dynamics of Object Manipulation under Constraints

open access: yesJournal of Robotics, 2009
A Riemannian-geometry approach for modeling and control of dynamics of object manipulation under holonomic or non-holonomic constraints is presented.
Suguru Arimoto   +3 more
doaj   +1 more source

Geometrical aspects of spinor and twistor analysis [PDF]

open access: yes
This work is concerned with two examples of the interactions between differential geometry and analysis, both related to spinors. The first example is the Dirac operator on conformal spin manifolds with boundary.
Calderbank, David M. J.
core  

Integrating Hamiltonian systems defined on the Lie groups SO(4) and SO(1,3) [PDF]

open access: yes, 2007
This paper examines optimal solutions of control systems with drift defined on the orthonormal frame bundle of particular Riemannian manifolds of constant curvature. The manifolds considered here are the space forms Euclidean space E³, the spheres S³ and
Biggs, James   +4 more
core  

Laser-dressed states on Riemannian manifolds: A generalization of the Kramers-Henneberger transformation

open access: yesPhysical Review Research
Quantum particles under geometric constraints are sensitive to the geometry and topology of the underlying space. We analytically study the laser-driven nonlinear dynamics of a quantum particle whose motion is constrained to a two-dimensional Riemannian ...
Hannah Bendin   +2 more
doaj   +1 more source

Riemannian Geometry Attention Heterogeneous Graph Network for complex networks: uncertainty modeling of signal propagation and cross-entity risk prediction in social and ESG governance networks

open access: yesFrontiers in Physics
With the development of green finance and the complexity of the social network ecosystem, ESG risk governance and social network risk prevention and control have become core issues in the intelligent management of complex networks. Both belong to typical
Jixian Zhang
doaj   +1 more source

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