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1 article for “solvable Lie group”
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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