Results 151 to 160 of about 275,517 (307)
Non-smooth differential geometry and algebras of generalized functions
, 2003 Michael Kunzinger
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Journal of High Energy PhysicsStudying quantum field theories through geometric principles has revealed deep connections between physics and mathematics, including the discovery by Cachazo, Early, Guevara and Mizera (CEGM) of a generalization of biadjoint scalar amplitudes.
Nick Early
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Reversal Asymmetry of Reciprocal Metasurface Enables Ultra‐Compact Varifocal Reflective Lens
Laser &Photonics Reviews, EarlyView.The possibility of breaking the reversal symmetry of a lens without violating reciprocity is demonstrated. The freedom provided is utilized to realize an ultra‐compact reflective varifocal lens‐doublet based on a flat metasurface lens and a piezoelectric actuated micromirror.
Christopher A. Dirdal +6 more
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Extreme 5-dimensional black holes with SU(2)-symmetric horizons
Journal of High Energy PhysicsWe show that the near horizon geometry of 5-dimensional extreme (i.e., degenerate) stationary vacuum black holes, with or without cosmological constant, whose event horizons exhibit SU(2) symmetry must be that of a Berger sphere.
Eric Bahuaud +3 more
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Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Mathematische Nachrichten, EarlyView.Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
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WEIGHTED TRACES ON ALGEBRAS OF PSEUDO-DIFFERENTIAL OPERATORS AND GEOMETRY ON LOOP GROUPS [PDF]
, 2002 Alexander Cardona +3 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
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Geometry of differential operators of second order, the algebra of densities, and groupoids
, 2012 H. M. Khudaverdian, Th.Th. Voronov
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Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Superquadrics are one of the most suitable geometric tools for modeling many complex shapes in nature. It is possible to model many objects, human figures, and living creatures in nature in a suitable way by means of superquadrics. On the other hand, quaternions are useful in mathematics, especially for computations involving three‐dimensional
Zehra Özdemir, Esra Parlak
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A New Approach to the Accretive Growth of Surfaces Via Hyperbolical Kinematics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the current work, we introduce the accretive growth of surfaces by using hyperbolical geometry. First, we describe hyperbolical kinematics along a generating curve to construct accretive surfaces having a hyperbolical cross‐section. The obtained surfaces are not only the ones having hyperbolical cross‐sections but also their material points
Gül Tuğ, Zehra Özdemir
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