Horizontal Path Lifting for General Connections
Phillip E. Parker, Justin M. Ryan
TL;DR
This paper introduces a new property to characterize the existence of horizontal path lifts in general connections on fiber bundles, providing novel insights into linear and G-connections.
Contribution
It presents a new property that characterizes horizontal path lifts for general connections, extending understanding to linear and G-connections.
Findings
New property for horizontal path lifts
Insights into linear and G-connections
General framework applicable to fiber bundles
Abstract
We characterize the existence of horizontal path lifts for general connections on arbitrary fiber bundles with a new property that also gives fresh insight into linear and -connections.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Robotic Path Planning Algorithms