Source: wikibot/holomorphic-tangent-bundle
= Holomorphic tangent bundle
{wiki=Holomorphic_tangent_bundle}
In differential geometry, the **holomorphic tangent bundle** is a concept that arises in the context of complex manifolds, which are spaces that locally resemble complex Euclidean space and have a complex structure. \#\#\# Basic Definitions: 1. **Tangent Bundle**: For a smooth manifold \\(M\\), the tangent bundle \\(TM\\) is the collection of all tangent spaces at every point in \\(M\\).