نتایج جستجو برای: commutative manifold
تعداد نتایج: 42254 فیلتر نتایج به سال:
We characterize the natural diagonal almost product (locally product) structures on the tangent bundle of a Riemannian manifold. We obtain the conditions under which the tangent bundle endowed with the determined structure and with a metric of natural diagonal lift type is a Riemannian almost product (locally product) manifold, or an (almost) para-Hermitian manifold. We find the natural diagona...
The moment map is a mathematical expression of the concept of the conservation associated with the symmetries of a Hamiltonian system. The abstract moment map is defined from G-manifold M to dual Lie algebra of G. We will interested study maps from G-manifold M to spaces that are more general than dual Lie algebra of G. These maps help us to reduce the dimension of a manifold much more.
In this paper, a sparse representation based manifold learning method is proposed. The construction of the graph manifold in high dimensional space is the most important step of the manifold learning methods that is divided into local and gobal groups. The proposed graph manifold extracts local and global features, simultanstly. After construction the sparse representation based graph manifold,...
As a new step towards defining complexity for quantum field theories, we map Nielsen operator $SU(N)$ gates to two-dimensional hydrodynamics. We develop tractable large $N$ limit that leads regular geometries on the manifold of unitaries as is taken infinity. To achieve this, introduce basis non-commutative plane waves $\mathfrak{su}(N)$ algebra and define metric with polynomial penalty factors...
In mathematics and engineering, a manifold is topological space that locally resembles Euclidean near each point. Defining the best metric for these manifolds have several engineering science implications from controls to optimization generalized inner product applications of Gram Matrices appear in applications. These smooth geometric can be formalized by Lie Groups their Algebras on its infin...
Abstract We explore the geometric implications of introducing a spectral cut-off on compact Riemannian manifolds. This is naturally phrased in framework non-commutative geometry, where we work with triples that are truncated by projections Dirac-type operators. associate metric space ‘localized’ states to each truncation. The Gromov–Hausdorff limit these spaces then shown equal underlying manif...
An operator $I$ on a real Lie algebra $A$ is called complex structure if $I^2=-Id$ and the $\sqrt{-1}$-eigenspace $A^{1,0}$ subalgebra in complexification of $A$. A hypercomplex triple structures $I,J$ $K$ satisfying quaternionic relations. We call nilpotent quaternionic-solvable there exists finite filtration by quaternionic-invariant subalgebras with commutative subquotients which converges t...
In the first part of this paper, some theorems are given for a Riemannian manifold with semi-symmetric metric connection. In the second part of it, some special vector fields, for example, torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. We obtain some properties of this manifold having the vectors mentioned above.
In this paper we introduce the notion of $varphi$-commutativity for a Banach algebra $A$, where $varphi$ is a continuous homomorphism on $A$ and study the concept of $varphi$-weak amenability for $varphi$-commutative Banach algebras. We give an example to show that the class of $varphi$-weakly amenable Banach algebras is larger than that of weakly amenable commutative Banach algebras. We charac...
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