Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Avetisyan, Zhirayr"'
Autor:
Avetisyan, Zhirayr, Ruzhansky, Michael
The analogue of polar coordinates in the Euclidean space, a polar decomposition in a metric space, if well-defined, can be very useful in dealing with integrals with respect to a sufficiently regular measure. In this note we handle the technical deta
Externí odkaz:
http://arxiv.org/abs/2309.00877
An almost Abelian group is a non-Abelian Lie group with a codimension 1 Abelian subgroup. This paper investigates invariant Hermitian and K\"{a}hler structures on connected complex almost Abelian groups. We find explicit formulas for the left and rig
Externí odkaz:
http://arxiv.org/abs/2308.09203
An almost Abelian Lie group is a non-Abelian Lie group with a codimension 1 Abelian subgroup. We show that all discrete subgroups of complex simply connected almost Abelian groups are finitely generated. The topology of connected almost Abelian Lie g
Externí odkaz:
http://arxiv.org/abs/2308.08059
We call an element $U$ conditionally universal for a sequential convergence space $\mathbf{\Omega}$ with respect to a minimal system $\{\varphi_n\}_{n=1}^\infty$ in a continuously and densely embedded Banach space $\mathcal{X}\hookrightarrow\mathbf{\
Externí odkaz:
http://arxiv.org/abs/2306.11156
Publikováno v:
JHEP 08 (2022) 112
In our previous article Phys. Rev. Lett. 127 (2021) 271601, we announced a novel 'democratic' Lagrangian formulation of general nonlinear electrodynamics in four dimensions that features electric and magnetic potentials on equal footing. Here, we giv
Externí odkaz:
http://arxiv.org/abs/2205.02522
We introduce and study in a general setting the concept of homogeneity of an operator and, in particular, the notion of homogeneity of an integral operator. In the latter case, homogeneous kernels of such operators are also studied. The concept of ho
Externí odkaz:
http://arxiv.org/abs/2112.03840
Publikováno v:
Phys. Rev. Lett. 127 (2021) 271601
We construct a Lagrangian for general nonlinear electrodynamics that features electric and magnetic potentials on equal footing. In the language of this Lagrangian, discrete and continuous electric-magnetic duality symmetries can be straightforwardly
Externí odkaz:
http://arxiv.org/abs/2108.01103
This paper is concerned with the study of linear geometric rigidity of shallow thin domains under zero Dirichlet boundary conditions on the displacement field on the thin edge of the domain. A shallow thin domain is a thin domain that has in-plane di
Externí odkaz:
http://arxiv.org/abs/2006.08840
Autor:
Rios, Marcelo Almora, Avetisyan, Zhirayr, Berlow, Katalin, Martin, Isaac, Rakholia, Gautam, Yang, Kelley, Zhang, Hanwen, Zhao, Zishuo
Publikováno v:
Journal of Mathematical Sciences, Series A 266, 2022
An almost Abelian Lie group is a non-Abelian Lie group with a codimension 1 Abelian normal subgroup. The majority of 3-dimensional real Lie groups are almost Abelian, and they appear in all parts of physics that deal with anisotropic media - cosmolog
Externí odkaz:
http://arxiv.org/abs/2004.04369
Autor:
Avetisyan, Zhirayr
The subject of the paper is the geometry and topology of cosmological spacetimes and vector bundles thereon, which are used to model physical fields propagating in the universe. Global hyperbolicity and factorization properties of the spacetime and t
Externí odkaz:
http://arxiv.org/abs/2004.03787