On Riemannian geometry and basic Cartan geometry:
On differential geometry and topology/homotopy theory in mathematical physics (such as fiber bundles in physics):
Adam Marsh, Mathematics for Physics: An Illustrated Handbook, World Scientific 2018 (doi:10.1142/10816, book webpage)
chapter 10: Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results (arXiv:1607.03089)
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