I was trying to understand the notion of a connection. I have heard in seminars that a connection is more or less a differential equation. I read the definition of Kozsul connection and I am trying to assimilate it. So far I cannot see why a connection is a differential equation. Please help me with some clarification.
Connections and differential equations
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differential-geometry
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3I'd rather say it's a differential operator than an equation. But you can build equations with it. – 2010-12-10