Results 11 to 20 of about 243,977 (284)
On Affinely Closed, Homogeneous Spaces [PDF]
Journal of Mathematical Sciences, 2005 9 ...
Arzhantsev, I. V., Tennova, N. A.
openaire +2 more sources
Affine Connection Representation of Gauge Fields
Advances in High Energy Physics, 2022 There are two ways to unify gravitational field and gauge field. One is to represent gravitational field as principal bundle connection, and the other is to represent gauge field as affine connection.
Zhao-Hui Man
doaj +1 more source
Complexes of ellipsoids with indicatrices of coordinate vectors in the form of surfaces
Дифференциальная геометрия многообразий фигур, 2021 The study continues in a three-dimensional affine space of complexes of three-parameter families of ellipsoids, considered earlier in a number of works by the author.
M.V. Kretov
doaj +1 more source
General-affine invariants of plane curves and space curves [PDF]
, 2019 We present a fundamental theory of curves in the affine plane and the affine space, equipped with the general-affine groups ${\rm GA}(2)={\rm GL}(2,{\bf R})\ltimes {\bf R}^2$ and ${\rm GA}(3)={\rm GL}(3,{\bf R})\ltimes {\bf R}^3$, respectively. We define
Kobayashi, Shimpei, Sasaki, Takeshi
core +3 more sources
Classifying affine line bundles on a compact complex space
Complex Manifolds, 2019 The classification of affine line bundles on a compact complex space is a difficult problem. We study the affine analogue of the Picard functor and the representability problem for this functor. Let be a compact complex space with .
Plechinger Valentin
doaj +1 more source
The classical origin of quantum affine algebra in squashed sigma models [PDF]
, 2012 We consider a quantum affine algebra realized in two-dimensional non-linear sigma models with target space three-dimensional squashed sphere. Its affine generators are explicitly constructed and the Poisson brackets are computed.
A Ballesteros +45 more
core +2 more sources
About a class of three-dimensional submanifolds in affine space A^6
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2017 A three-dimensional submanifold M in affine space A^6 is studied by the method of exterior forms. It is proven that the structure of total space generates a special type of affine connection on this submanifold; the structure equations of M are found.
Ofelya Arabyan
doaj +1 more source
Yangians and cohomology rings of Laumon spaces [PDF]
, 2011 Laumon moduli spaces are certain smooth closures of the moduli spaces of maps from the projective line to the flag variety of $GL_n$. We construct the action of the Yangian of $sl_n$ in the cohomology of Laumon spaces by certain natural correspondences ...
Feigin, Boris +3 more
core +1 more source
Global Algorithm for Generalized Affine Multiplicative Programming Problem
IEEE Access, 2019 In this paper, a new outer space rectangle branch and bound algorithm is proposed for globally solving generalized affine multiplicative programming problem.
Jingben Yin, Hongwei Jiao, Youlin Shang
doaj +1 more source
On axiomatic definitions of non-discrete affine buildings [PDF]
, 2013 In this paper we prove equivalence of sets of axioms for non-discrete affine buildings, by providing different types of metric, exchange and atlas conditions.
Bennett, Curtis D. +2 more
core +3 more sources