Radial parallel sections of vector bundles
Antonio J. Di Scala
TL;DR
This paper proves the existence of smooth radial parallel sections in vector bundles with a linear connection, providing a foundational result in differential geometry.
Contribution
It offers a new proof demonstrating the existence of radial parallel sections in vector bundles with linear connections.
Findings
Existence of smooth radial parallel sections established
Proof applicable to general vector bundles with linear connections
Enhances understanding of parallel transport in differential geometry
Abstract
We give a proof of the existence of radial (smooth) parallel sections of vector bundles endowed with a linear connection.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Differential Equations and Dynamical Systems