Let $(E,g)$ be a vector bundle with a metric over a manifold $M$. Does $(E,g)$ always admit a compatible (metric) connection?
If so, are there examples where there exists only one such metric connection?
2026-03-28 07:05:12.1774681512
Every vector bundle has a metric connection?
957 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in DIFFERENTIAL-GEOMETRY
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