PARALLEL TRANSPORT OVER PATH SPACES

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Parallel Transport over Path Spaces

We develop a framework for parallel transport over path spaces and a corresponding discrete theory, an integrated version of the continuum theory. Our results connect with and extend ideas developed for higher gauge theories in the framework of 2-connections on 2-bundles. We work with quadrilaterals rather than bigons.

متن کامل

Parallel Connections over Symmetric Spaces

Let M be a simply connected Riemannian symmetric space, with at most one flat direction. We show that every Riemannian (or unitary) vector bundle with parallel curvature over M is an associated vector bundle of a canonical principal bundle, with the connection inherited from the principal bundle. The problem of finding Riemannian (or unitary) vector bundles with parallel curvature then reduces ...

متن کامل

Estimates on Path Functionals over Wasserstein Spaces

In this paper we consider the class a functionals (introduced in [BBS]) Gr,p(γ) defined on Lipschitz curves γ valued in the p-Wasserstein space. The problem considered is the following: given a measure μ, give conditions in order to assure the existence a curve γ such that γ(0) = μ, γ(1) = δx0 , and Gr,p(γ) < +∞. To this end, new estimates on Gr,p(μ) are given and a notion of dimension of a mea...

متن کامل

Quantum stochastic calculus applied to path spaces over Lie groups

Quantum stochastic calculus is applied to the proof of Skorokhod and Weitzenböck type identities for functionals of a Lie group-valued Brownian motion. In contrast to the case of Rd-valued paths, the computations use all three basic quantum stochastic differentials.

متن کامل

Video Transport over Ad-hoc Networks with Path Diversity1

An ad-hoc network is a collection of mobile nodes that will create the network “on the fly”. The main differences between ad-hoc networks and conventional cellular technology are the lack of a centralized administration within ad-hoc networks and the independence from pre-existing infrastructure. Consequently, in an ad-hoc network, besides having quite high transmission bit error rates during f...

متن کامل

ذخیره 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: Reviews in Mathematical Physics

سال: 2010

ISSN: 0129-055X,1793-6659

DOI: 10.1142/s0129055x10004156