Results 41 to 50 of about 1,685,988 (224)
Geometries with the Second Poincaré Symmetry [PDF]
The second Poincar kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincar symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants $(c,l)$ can be established.
Zhan Xu +4 more
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Symmetries of parabolic geometries
We generalize the concept of affine locally symmetric spaces for parabolic geometries. We discuss mainly $|1|$--graded geometries and we show some restrictions on their curvature coming from the existence of symmetries. We use the theory of Weyl structures to discuss more interesting $|1|$--graded geometries which can carry a symmetry in a point with ...
Lenka Zalabová, Lenka Zalabová
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SYMMETRY IN ELEMENTARY GEOMETRY [PDF]
n ...
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The Poisson gauge algebra is a semi-classical limit of complete non- commutative gauge algebra. In the present work we formulate the Poisson gauge theory which is a dynamical field theoretical model having the Poisson gauge algebra as a corresponding ...
Vladislav G. Kupriyanov
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κ-Minkowski-deformation of U(1) gauge theory
We construct a noncommutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 08 (2020) 041.
V. G. Kupriyanov, M. Kurkov, P. Vitale
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Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space [PDF]
We study a two dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near extremal black holes, or more generally, nearly $AdS_2$ spacetimes.
J. Maldacena, D. Stanford, Zhenbin Yang
semanticscholar +1 more source
Geometry and symmetry on Sasakian manifolds
Let M denote a Sasakian manifold and let \(\phi\) be the tensor field of type (1,1) with the property \(\phi^ 2=-I+\eta \otimes \xi\) where \(\eta\) denotes the contact form and \(\xi\) is the characteristic vector field with \(\eta (\xi)=1\). A geodesic \(\gamma\) on M is called a \(\phi\)-geodesic if \(\eta\) (\({\dot \gamma}\))\(=0\). M is locally \(
P., Bueken, L., Vanhecke
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Symmetry as a Representation of Intuitive Geometry?
Recognition of geometrical patterns seems to be an important aspect of human intelligence. Geometric pattern recognition is used in many intelligence tests, including Dehaene's odd-one-out test of Core Geometry (CG)) based on intuitive geometrical concepts (Dehaene et al., 2006).
Xu, Wangcheng +2 more
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Symmetries in Generalized Kähler Geometry [PDF]
We define the notion of a moment map and reduction in both generalized complex geometry and generalized K hler geometry. As an application, we give very simple explicit constructions of bi-Hermitian structures on $\C ^n$, Hirzebruch surfaces, the blow up of $\CP^2$ at arbitrarily many points, and other toric varieties, as well as complex ...
Susan Tolman, Yi Lin
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