Let $\pi:M\rightarrow N$ be a smooth fiber bundle of almost complex manifolds with fiber $F$. Does the map $\bar \partial \pi :T^{0,1}M\rightarrow T^{0,1}N$ make sense? Is it a vector bundle? What is the fiber?
2026-03-30 01:29:49.1774834189
Derivative of fiber bundles
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