Results 21 to 30 of about 62,341 (171)
Non-metric geometry as the origin of mass in gauge theories of scale invariance
European Physical Journal C: Particles and Fields, 2023 We discuss gauge theories of scale invariance beyond the Standard Model (SM) and Einstein gravity. A consequence of gauging this symmetry is that their underlying 4D geometry is non-metric ( $$\nabla _\mu g_{\alpha \beta }\!\not =\!0$$ ∇ μ g α β ≠ 0 ...
D. M. Ghilencea
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Discrete-Time Differential Dynamic Programming on SO(3) With Pose Constraints
IEEE Access, 2022 The motion of many robotics systems, such as the rotation of unmanned aerial vehicles, can be modeled by SO(3). However, the difficulties in the parameterization of the SO(3) makes it hard to implement the state-of-the-art collision avoidance algorithm ...
Shu Liu, Dongpo Liu
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Supersymmetric Yang-Mills Theory and Riemannian Geometry [PDF]
, 1997 We introduce new local gauge invariant variables for N=1 supersymmetric Yang-Mills theory, explicitly parameterizing the physical Hilbert space of the theory.
Babelon +19 more
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Log‐Euclidean bag of words for human action recognition
IET Computer Vision, 2015 Representing videos by densely extracted local space–time features has recently become a popular approach for analysing actions. In this study, the authors tackle the problem of categorising human actions by devising bag of words (BoWs) models based on ...
Masoud Faraki +2 more
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Geometric Reinforcement Learning for Robotic Manipulation
IEEE Access, 2023 Reinforcement learning (RL) is a popular technique that allows an agent to learn by trial and error while interacting with a dynamic environment.
Naseem Alhousani +5 more
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Swimming in Curved Surfaces and Gauss Curvature
Universitas Scientiarum, 2018 The Cartesian-Newtonian paradigm of mechanics establishes that, within an inertial frame, a body either remains at rest or moves uniformly on a line, unless a force acts externally upon it.
Leonardo Solanilla +2 more
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Discrete Riemannian Geometry [PDF]
, 1998 Within a framework of noncommutative geometry, we develop an analogue of (pseudo) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation.
Dimakis, A., Muller-Hoissen, F.
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Geometry of conformal manifolds and the inversion formula
Journal of High Energy Physics, 2023 Families of conformal field theories are naturally endowed with a Riemannian geometry which is locally encoded by correlation functions of exactly marginal operators.
Bruno Balthazar, Clay Córdova
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Non-local geometry inside Lifshitz horizon
Journal of High Energy Physics, 2017 Based on the quantum renormalization group, we derive the bulk geometry that emerges in the holographic dual of the fermionic U(N ) vector model at a nonzero charge density. The obstruction that prohibits the metallic state from being smoothly deformable
Qi Hu, Sung-Sik Lee
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Finite energy coordinates and vector analysis on fractals
, 2015 We consider (locally) energy finite coordinates associated with a strongly local regular Dirichlet form on a metric measure space. We give coordinate formulas for substitutes of tangent spaces, for gradient and divergence operators and for the ...
Hinz, Michael, Teplyaev, Alexander
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