Maps and vector bundles
Maps and vector bundles
This discussion of maps and vector bundles covers the pull-back construction; pull-backs and Grassmannians; pull-back of differential forms and push-forward of vector fields; invariant forms and vector fields on Lie groups; the exponential map on a matrix group; the exponential map and right/left invariance on Gl(n; ℂ) and its subgroups; and immersion, submersion, and transversality.
Keywords: pull-back construction, Grassmannians, vector fields, Lie groups, matrix group, exponential map
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