Results 51 to 60 of about 115,622 (258)
Integral Geometry in Minkowski Spaces
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Schneider, Rolf, Wieacker, John André
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On Isoperimetric Inequalities in Minkowski Spaces [PDF]
The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Minkowski spaces). We will also show that, in a way, Steiner symmetrization could be used as a useful tool to prove Petty's conjectured ...
Zokhrab Mustafaev, Horst Martini
openaire +4 more sources
Orlicz Mean Dual Affine Quermassintegrals
Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
doaj +1 more source
The đȘ-WG° inverse in the Minkowski space
In this article, we study the m{\mathfrak{m}}-WGâ{}^{\circ } inverse which presents a generalization of the m{\mathfrak{m}}-WG inverse in the Minkowski space. We first show the existence and the uniqueness of the generalized inverse.
Liu Xiaoji, Zhang Kaiyue, Jin Hongwei
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Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
In this paper we have studied the nature of kinematical and dynamical laws in $\kappa $-Minkowski spacetime from a new perspective: the canonical phase space approach. We discuss a particular form of $\kappa$-Minkowski phase space algebra that yields the
C. Rovelli+5 more
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The local Minkowski tensors are valuations on the space of convex bodies in Euclidean space with values in a space of tensor measures. They generalize at the same time the intrinsic volumes, the curvature measures and the isometry covariant Minkowski ...
Hug, Daniel, Schneider, Rolf
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Twistor space, Minkowski space and the conformal group [PDF]
It is shown that the conformal group of compactified Minkowski space is isomorphic to a group of rays of semilinear transformations of twistor space.
Broek, P.M. van den
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Information Transmission Strategies for SelfâOrganized Robotic Aggregation
In this review, we discuss how information transmission influences the neighborâbased selfâorganized aggregation of swarm robots. We focus specifically on local interactions regarding information transfer and categorize previous studies based on the functions of the information exchanged.
Shu Leng+5 more
wiley +1 more source
Higher-Rank Fields and Currents
$Sp(2M)$ invariant field equations in the space ${\cal M}_M$ with symmetric matrix coordinates are classified. Analogous results are obtained for Minkowski-like subspaces of ${\cal M}_M$ which include usual $4d$ Minkowski space as a particular case.
Gelfond, O. A., Vasiliev, M. A.
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Energy Symmetry Breaking of Dirac and Weyl Fermions in Magnetized Spinning Conical Geometries
Exact solutions for relativistic fermions in magnetized, spinning conical geometries reveal defectâinduced symmetry breaking between fermion and antifermion energies. Energy levels depend on the magnetic field, background geometry, and fractionalized spin. When the defect's spin dominates, quantum effects diminish.
Abdullah Guvendi, Omar Mustafa
wiley +1 more source