Locally Symmetric Connections on Complex Hypersurfaces with Type Number 1

Abstract

We characterize -by describing in local coordinates their sections -the transversal bundles which on the complex hypersurface with type number 1 induce locally symmetric connections. (2000). 53B05, 53C42, 53C56, 32H02. Mathematics Subject Classifications

Locally symmetric connections on complex surfaces and some equations of Monge-Ampère type

“…The following theorem, which in particular gives the full classification of locally symmetric hypersurfaces with r > 2, has been proved by B. Opozda in [5]. A local description of complex hypersurfaces with type number one endowed with transversal bundles inducing locally symmetric connections is given in [9].…”