# nLab almost Hermitian structure

### Context

#### Differential geometry

differential geometry

synthetic differential geometry

complex geometry

# Contents

## Definition

An almost Hermitian structure on an almost complex manifold is a further reduction of the structure group of the tangent bundle along the inclusion of the unitary group $U(n) \hookrightarrow GL(n,\mathbb{C})$.

Revised on July 14, 2014 07:29:41 by Urs Schreiber (89.204.135.179)