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A lower-bound estimate of injectivity radius for complete Riemannian manifolds is discussed in a pure geometric viewpoint and is applied to study tangent cones at infinity of certain gradient Ricci solitons. We also study the asymptotic…

Differential Geometry · Mathematics 2016-11-25 Chih-Wei Chen

Recent discoveries in graphene bilayers revealed that when one of the layers is rotated, superconductivity emerges. We provide an explanation for this phenomenon . We find that due to the layer rotations, the spinors are modified in such…

Mesoscale and Nanoscale Physics · Physics 2020-12-02 D. Schmeltzer

We extend Turaev's definition of torsion invariants of 3-dimensional manifolds equipped with non-singular vector fields, by allowing (suitable) tangency circles to the boundary, and manifolds with non-zero Euler characteristic. We show that…

Geometric Topology · Mathematics 2007-05-23 Riccardo Benedetti , Carlo Petronio

The stacking of intrinsically magnetic van der Waals materials provides a fertile platform to explore tunable transport effects of magnons, presenting significant prospects for spintronic applications. The possibility of having…

Mesoscale and Nanoscale Physics · Physics 2025-02-07 Zhi-Xing Lin , Shu Zhang

We consider a possible (parity conserving) interaction between the electromagnetic field $F$ and a torsion field $T^\alpha$ of spacetime. For generic elementary torsion, gauge invariant coupling terms of lowest order fall into two classes…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yakov Itin , Friedrich W. Hehl

We observe shift in the zero magnetic field resonance as the handedness of resonantly interacting circularly polarized light is changed. The characteristic of the shift resembles with the Zeeman light shift that arises due to interaction of…

Atomic Physics · Physics 2018-01-22 Swarupananda Pradhan

We start from a local and linear spacetime relation between the electromagnetic excitation and the field strength. Then we study the generally covariant Fresnel surfaces for light rays and light waves. The metric and the connection of…

Classical Physics · Physics 2008-11-26 Yuri N. Obukhov , Friedrich W. Hehl

We describe a practical and effective method for reconstructing the deformation class of a Fano manifold X from a Laurent polynomial f that corresponds to X under Mirror Symmetry. We explore connections to nef partitions, the smoothing of…

Algebraic Geometry · Mathematics 2021-12-17 Tom Coates , Alexander Kasprzyk , Thomas Prince

We present an exact analytic study on the topological phase interference effect in resonant quantum tunneling of the magnetization between degenerate excited levels for biaxial ferromagnets in an arbitrarily directed magnetic field. We show…

Statistical Mechanics · Physics 2015-06-24 Rong Lu , Jia-Lin Zhu , Yi Zhou , Bing-Lin Gu

A novel experimental technique for the realisation of the optical Faraday effect using Laguerre- Gaussian (LG) light is described. The experiment employs a zero-order vortex half-wave retarder to generate a radially or azimuthally-polarised…

Optics · Physics 2023-06-28 Fatma Tambag , Koray Koksal , Fikret Yildiz , Mohamed Babiker

We give a new and self-contained proof of the existence and unicity of the flow for an arbitrary (not necessarily homogeneous) smooth vector field on a real supermanifold, and extend these results to the case of holomorphic vector fields on…

Differential Geometry · Mathematics 2013-06-13 Stéphane Garnier , Tilmann Wurzbacher

In conventional Maxwell--Lorentz electrodynamics, the propagation of light is influenced by the metric, not, however, by the possible presence of a torsion T. Still the light can feel torsion if the latter is coupled nonminimally to the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Guillermo F. Rubilar , Yuri N. Obukhov , Friedrich W. Hehl

The nonlinear quantum interaction of a linearly polarized x-ray probe beam with a focused intense standing laser wave is studied theoretically. Because of the tight focusing of the standing laser pulse, diffraction effects arise for the…

High Energy Physics - Phenomenology · Physics 2018-08-01 A. Di Piazza , K. Z. Hatsagortsyan , C. H. Keitel

We study the possibility that the magnetic dipole moment of light charged vector mesons could be measured from their effects in \tau^- --> V^-\nu_{\tau}\gamma decays. We conclude that the energy spectrum and angular distribution of photons…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Lopez Castro , G. Toledo Sanchez

We establish results for the injectivity and injectivity modulo gauge of certain inverse source problems in transport on a simply connected domain with variable index of refraction inducing a 'simple geometry'. The model given by radiative…

Analysis of PDEs · Mathematics 2019-08-20 Guillaume Bal , François Monard

Dependence of x-ray magnetic circular dichroism on the experimental geometry is described by a frequency-dependent Hall vector. Using group theory, we derive a general relationship between the Hall vector and the orientation of the N\'eel…

Materials Science · Physics 2025-11-12 Jan Kuneš

Robertson-Walker and Generalized Robertson-Walker spacetimes may be characterized by the existence of a time-like unit torse-forming vector field, with other constrains. We show that Twisted manifolds may still be characterized by the…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Carlo Alberto Mantica , Luca Guido Molinari

We study the dynamics of Abelian-Higgs vortices in the background of a coherently oscillating axion field. We show that the electric field is induced in the magnetic core of the vortex due to the axion-photon conversion. Moreover, because…

High Energy Physics - Phenomenology · Physics 2025-07-23 Naoya Kitajima , Shota Nakagawa

This article reviews the current status of experimental results obtained in the measurement of light vector mesons produced in proton-proton and heavy ion collisions at different energies. The review is focused on two phenomena related to…

Nuclear Experiment · Physics 2009-07-22 Alexander Milov

It is believed that some stars have two or more convection zones in close proximity near to the stellar photosphere. These zones are separated by convectively stable regions that are relatively narrow. Due to the close proximity of these…

Astrophysics · Physics 2008-12-18 M. -K. Lin , L. J. Silvers , M. R. E. Proctor