Connection theory on differentiable fibre bundles. A pedagogical introduction

Bozhidar Z. Iliev (Institute for Nuclear Research; Bulgaria); Bulgarian Academy of Sciences; Nuclear Energy; Sofia

arxiv: math-ph/0510004 · v2 · submitted 2005-10-01 · 🧮 math-ph · gr-qc· math.DG· math.MP

Connection theory on differentiable fibre bundles. A pedagogical introduction

Bozhidar Z. Iliev (Institute for Nuclear Research , Nuclear Energy , Bulgarian Academy of Sciences , Sofia , Bulgaria) This is my paper

classification 🧮 math-ph gr-qcmath.DGmath.MP

keywords bundlesconnectionconnectionsdifferentiablefibreframestheoryadapted

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The paper contains a review on the general connection theory on differentiable fibre bundles. Particular attention is paid to (linear) connections on vector bundles. The (local) representations of connections in frames adapted to holonomic and arbitrary frames is considered.

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Connection theory on differentiable fibre bundles. A pedagogical introduction

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