Zobrazeno 1 - 10
of 117
pro vyhledávání: '"58B99"'
Autor:
Diez, Tobias, Ratiu, Tudor S.
We initiate the study of the norm-squared of the momentum map as a rigorous tool in infinite dimensions. In particular, we calculate the Hessian at a critical point, show that it is positive semi-definite along the complexified orbit, and determine a
Externí odkaz:
http://arxiv.org/abs/2405.13308
The aim of this paper is to formulate a {\it non--commutative geometrical} version of the classical electromagnetic field theory in the vacuum with the Moyal--Weyl algebra as the space--time by using the theory of quantum principal bundles and quantu
Externí odkaz:
http://arxiv.org/abs/2309.11583
In this paper we present solutions to the non-commutative geometrical version of the Yang-Mills-Scalar-Matter theory in the Hopf fibration using the $3D$--calculus.
Externí odkaz:
http://arxiv.org/abs/2112.01973
The purpose of this work is to present a Non--Commutative Geometrical version of the Yang--Mills Theory and the Yang--Mills Scalar Matter Theory by constructing a concrete example using M. Durdevich's theory of quantum principal bundles.
Externí odkaz:
http://arxiv.org/abs/2112.00647
Albeverio, Kondratiev, and R\"{o}ckner have introduced a type of differential geometry, which we call lifted geometry, for the configuration space $\Gamma_X$ of any manifold $X$. The name comes from the fact that various elements of the geometry of $
Externí odkaz:
http://arxiv.org/abs/2111.09646
This paper aims to develop a non-commutative geometrical version of the theory of Yang--Mills--Scalar--Matter fields. To accomplish this purpose, we will dualize the geometrical formulation of this theory, in which principal $G$--bundles, principal c
Externí odkaz:
http://arxiv.org/abs/2109.01554
Autor:
Neumeister, Oliver
This master thesis looks at the gradient flow of the length functional on embedded loops. The space of embedded loops is endowed with a scale structure so that the length functional becomes scale smooth. For certain underlying manifolds, using the fa
Externí odkaz:
http://arxiv.org/abs/2104.12906
Autor:
Bogdanskii, Yuri, Shram, Vladyslav
This article studies divergence of multivector fields on Banach manifolds with a Radon measure. The proposed definition is consistent with the classical divergence from finite-dimensional differential geometry. Certain natural properties of divergenc
Externí odkaz:
http://arxiv.org/abs/2005.03827
Autor:
Diez, Tobias, Ratiu, Tudor S.
The space of smooth sections of a symplectic fiber bundle carries a natural symplectic structure. We provide a general framework to determine the momentum map for the action of the group of bundle automorphism on this space. Since, in general, this a
Externí odkaz:
http://arxiv.org/abs/2002.01273
Autor:
Diez, Tobias
A local normal form theorem for smooth equivariant maps between Fr\'echet manifolds is established. Moreover, an elliptic version of this theorem is obtained. The proof these normal form results is inspired by the Lyapunov-Schmidt reduction for dynam
Externí odkaz:
http://arxiv.org/abs/1909.00744