Results 21 to 30 of about 62,448 (173)
The geometry of hemi-slant submanifolds of a locally product Riemannian manifold
In the present paper, we study hemi-slant submanifolds of a locally product Riemannian manifold. We prove that the anti-invariant distribution which is involved in the definition of hemi-slant submanifold is integrable and give some applications of this result. We get a necessary and sufficient condition for a proper hemi-slant submanifold to be a hemi-
Taştan, Hakan Mete, Özdemir, Fatma
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Supersymmetric Yang-Mills Theory and Riemannian Geometry [PDF]
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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Non-metric geometry as the origin of mass in gauge theories of scale invariance
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
doaj +1 more source
Discrete-Time Differential Dynamic Programming on SO(3) With Pose Constraints
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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Log‐Euclidean bag of words for human action recognition
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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Swimming in Curved Surfaces and Gauss Curvature
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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Geometric Reinforcement Learning for Robotic Manipulation
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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Riemannian simplices and triangulations [PDF]
We study a natural intrinsic definition of geometric simplices in Riemannian manifolds of arbitrary dimension $n$, and exploit these simplices to obtain criteria for triangulating compact Riemannian manifolds.
Dyer, Ramsay +2 more
core +5 more sources
Geometry of conformal manifolds and the inversion formula
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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Finite energy coordinates and vector analysis on fractals
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
core +1 more source

