Affine Connection Induced from The Horizontal lift on a Cross-section
Melek Aras
TL;DR
This paper investigates how an affine connection can be derived from the horizontal lift on a cross-section defined by a vector field in a manifold, using an adapted frame.
Contribution
It introduces a method to induce an affine connection from horizontal lifts on cross-sections in differential geometry.
Findings
Derived explicit formulas for the induced affine connection.
Analyzed properties of the connection in the context of the manifold.
Provided insights into the geometric structure of cross-sections.
Abstract
The main purpose of present paper is to study the affine connection induced from the horizontal lift on the cross-section determined by a vector field in Mn with respect to the adapte frame of .
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Taxonomy
TopicsFluid Dynamics and Vibration Analysis · Vibration and Dynamic Analysis · Tribology and Lubrication Engineering