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3 articles for “geodesic”
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Homogeneous geodesics on the solvable homogeneous principal bundles
Abstract: Let $M=G/K$ be a homogeneous differentiable manifold .We consider the homogeneous bundle $\Im=(G,\pi,G/K,K)$ and the tangent bundle $\tau_{G/K}$ of $M=G/K$. Let $G$ be a connected Lie group and $K$a closed subgroup of $G$. We take the Lie algebras $\cal{G}$ and$\cal{K}$ of $G$ and $K$ respectively and define $\xi=(G\times_{K}\cal{ G} / \cal {K}, \rho_{\xi}, \emph{G} / \emph{K},\cal {G} /\cal {K})$ to be the bundle associated with $\Im$. We considerthat $ \xi$ …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 2, 2016 · pp. 26–37 Read article
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On Gravity
Abstract: Gravity was accidentally discovered by Newton after he observed an apple falling from a tree. But what actually is gravity and what part does it play? However, gravity remains much of an enigma. We experience gravity and is affected by it all the time, and yet we do not know what it really is except for interpreting it as a force or field. This paper takes on the challenging task …
Published in Research & Reviews : Journal of Physics · Vol. 10, Issue 3, 2021 · pp. 7–14 Read article
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DESIGN AND ANALYSIS OF A METAL LINED COMPOSITE OVERWRAPPED PRESSURE VESSEL
Abstract: This study presents a comprehensive investigation into the mechanical behavior of a metal lined composite overwrapped pressure vessel, designed for high-pressure storage applications. The design approach is dependent upon fiber material constants and dome shape factor. The study begins with obtaining dome coordinates and maintaining winding angles according to a geodesic path equation. Thickness estimation for the portion of cylindrical shell and domes are determined through netting analysis and cubic …
Published in Journal of Polymer & Composites · Vol. 11, Issue 8, 2023 · pp. 215–232 Read article