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Toplam kayıt 17, listelenen: 1-10
Discrete dynamical systems over double cross-product Lie groupoids
(World Scientific, 2021-03)
Discrete Euler-Lagrange equations are studied over double cross product Lie groupoids. As such, a geometric framework for the local analysis of a discrete dynamical system is established. The arguments are elucidated on ...
Adaptive convolution kernel for artificial neural networks
(Academic Press Inc., 2021-02)
Many deep neural networks are built by using stacked convolutional layers of fixed and single size (often 3 × 3) kernels. This paper describes a method for learning the size of convolutional kernels to provide varying size ...
Rotational Weingarten surfaces in hyperbolic 3-space
(Birkhauser, 2020-04-01)
We study rotational Weingarten surfaces in the hyperbolic space H3(- 1) with the principal curvatures ? and ? satisfying a certain functional relation ?= F(?) for a given continuous function F. We determine profile curves ...
On extensions, Lie-Poisson systems, and dissipation
(Heldermann Verlag, 2022-07-06)
Lie-Poisson systems on the dual spaces of unified products are studied. Having been equipped with a twisted 2-cocycle term, the extending structure framework allows not only to study the dynamics on 2-cocycle extensions, ...
Constant angle surfaces in the Lorentzian warped product manifold – I × fE²
(Birkhauser, 2021-06)
In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold - I× fE² with the metric g~ = - d t²+ f²(t) (d x²+ d y²) , where I is an open interval, f is ...
A new form of Kakutani fixed point theorem and intersection theorem with applications
(Ministry Communications & High Technologies, 2021)
The first aim of this paper is to extend the Kakutani's fixed point theorem from locally convex topological vector spaces to linear topological spaces. The second goal is to present sufficient conditions under which the ...
Hom-Lie-Hopf algebras
(Academic Press Inc., 2020-07-01)
We studied both the double cross product and the bicrossproduct constructions for the Hom-Hopf algebras of general (?,?)-type. This allows us to consider the universal enveloping Hom-Hopf algebras of Hom-Lie algebras, which ...
Slant curves in the Lorentzian warped product manifold - I× fE²
(Birkhauser, 2022-03-15)
In this work, we study slant curves in the 3-dimensional Lorentzian warped product - I× fE², where E² is a 2-dimensional Euclidean plane, I? R is an open interval equipped with the metric dt², and f is a positive smooth ...
On the Hochschild homology of smash biproducts
(Elsevier B.V., 2021-02)
We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension ...
Second order Lagrangian dynamics on double cross product groups
(Elsevier B.V., 2021-02)
We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd ...