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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 o
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