Rong Du

Split Normal Bundles and Rigidity of Holomorphic Immersions from Compact Ball Quotients

Let $f$ be a holomorphic immersion from a compact complex hyperbolic space form into a higher-dimensional complex hyperbolic space form. We prove that if the normal bundle decomposes as a direct sum of holomorphic line bundles, then the immersion is totally geodesic. This result has no restriction on the codimension an...