- #1

ayan849

- 22

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Is it possible to have a differential manifold, where due to some topological anomaly, a connection cannot exist?

Of course there exists symplectic manifolds where no connection property is required.

But my question is related to the existence of non-metricity --- as in non-metric case, metric property id there but the connection is not metric. Similarly, can we have some property called non-connectivity where the affine connection is there but somehow it is lacking some fundamental connection requirements?