Considers the problem of determining a connection on a vector bundle over a compact Reimannian manifold with boundary from the known parallel transport between boundary points along geodesics. Tensor algebra associated with a vector bundle; Proof of theorem.Sharafutdinov...
We consider the problem of determining a connection on a vector bundle over a compact Riemannian manifold with boundary from the known parallel transport between boundary points along geodesics. The main result is the local uniqueness theorem: if two connections r0 and r00 are C-close to a given...
Let E be a vector bundle over a smooth projective curve defined over k. We prove that E admits a connection if the degree of every indecomposable component of E is zero. This has been proved (when k = ) in M. F. Atiyah [2] and A.Weil [7].Quarterly Journal of MathematicsBISWAS...
The DifferentialGeometry Tensor package supports general computations with connections on vector bundles (Connection,Example 3;CovariantDerivative,Example 3;DirectionalCovariantDerivative,Example 3; andCurvatureTensor,Example 3). This functionality naturally provides for covariant differentiation of spinors. • T...
Applications of bundle map theory This paper observes that the space of principal bundle maps into the universal bundle is contractible. This fact is added to I. M. James' Bundle map theory... DH Gottlieb - 《Trans.amer.math.soc》 被引量: 111发表: 1972年 Connections on Naturally Reductive...
Let E be a holomorphic symplectic vector bundle over X equipped with a flat connection. There is a holomorphic symplectic structure on the total space of the pullback of E to the space of all nonzero holomorphic cotangent vectors on X. Using p, this symplectic form is quantized. A moduli ...
Vector Potential,Gauge Field and Connection on a Fiber Bundle VectorPotential,GaugeFieldandConnectiononaFiberBundleChenNingYangInstituteforTheoreticalPhysics,StateUniversityofNewYorkStony... Chen Ning Yang Institute for Theoretical Physics, State University of New York Stony Brook, New York , USA - 《...
g induces a metric on the bundle Λ 2 TM of 2-vectors by the formula g(X 1 ∧ X 2 , X 3 ∧ X 4 ) = 1 2 [g(X 1 , X 3 )g(X 2 , X 4 ) −g(X 1 , X 4 )g(X 2 , X 3 )] The Riemannian connection of M determines a connection on the vector bundle ...
on(type: 'netLost', callback: Callback<NetHandle>): void 订阅网络丢失事件。 模型约束:此接口调用之前需要先调用register接口,使用unregister取消订阅默认网络状态变化的通知。 系统能力:SystemCapability.Communication.NetManager.Core 参数: 参数名 类型 必填 说明 type string 是 订阅事件,固定为...
被引量: 3发表: 2010年 On pull-backs of the universal connection Narasihman and Ramanan proved that an arbitrary connection in a vector bundle over a base space B can be obtained as the pull-back (via a correctly chosen ... K Tapp - 《Mathematics》 被引量: 2发表: 2014年 加载更多站...