Non-holonomic connections on vector bundles, II
نویسندگان
چکیده
منابع مشابه
Vector Bundles, Connections and Curvature
Definition 1. Let M be a differentiable manifold. A C∞ complex vector bundle consists of a family {Ex}x∈M of complex vector spaces parametrized by M , together with a C∞ manifold structure of E = ∪x∈MEx such that 1. The projection map π : E →M taking Ex to x is C∞, and 2. For every x0 ∈M , there exists an open set U inM containing x0 and a diffeomorphism φU : π −1(U)→ U × C taking a vector spac...
متن کاملNon-holonomic Control Ii : Non-holonomic Quantum Devices
In this paper, we show how the non-holonomic control technique can be employed to build completely controlled quantum devices. Examples of such controlled structures are provided.
متن کاملNon-simple Vector Bundles on Curves
Let A be a finite dimensional unitary algebra over an algebraically closed field K. Here we study the vector bundles on a smooth projective curve which are equipped with a faithful action of A.
متن کاملConnections on Principal Fibre Bundles
Complete definitions and motivations are given for principal fibre bundles, connections on these, and associated vector bundles. The relationships between various concepts of differentiation in these settings are proved. Finally, we briefly give an outline of the theory of curvature in terms of connections.
متن کاملη-invariant and flat vector bundles II
We first apply the method and results in the previous paper to give a new proof of a result (hold in C/Z) of Gilkey on the variation of ηinvariants associated to non self-adjoint Dirac type operators. We then give an explicit local expression of certain η-invariant appearing in recent papers of Braverman-Kappeler on what they call refined analytic torsion, and propose an alternate formulation o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1967
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1967.100770