# Locally homogeneous complex manifolds

@article{Griffiths1969LocallyHC, title={Locally homogeneous complex manifolds}, author={Phillip A. Griffiths and Wilfried Schmid}, journal={Acta Mathematica}, year={1969}, volume={123}, pages={253-302} }

In this paper we discuss some geometric and analytic properties of a class of locally homogeneous complex manifolds. Our original motivation came from algebraic geometry where certain non-compact, homogeneous complex manifolds arose natural ly from the period matrices of general algebraic varieties in a similar fashion to the appearance of the Siegel upper-half-space from the periods of algebraic curves. However, these manifolds arc generally not Hermit ian symmetric domains and, because of… Expand

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