We generalize our elliptic characterization of Oka manifolds to Oka maps. The generalized characterization can be considered as an affirmative answer to the relative version of Gromov’s conjecture. As an application, we unify previously known Oka principles for submersions; namely the Gromov type Oka principle for subelliptic submersions and the Forstnerič type Oka principle for holomorphic fiber bundles with CAP fibers. We also establish the localization principle for Oka maps which gives new examples of Oka maps.

中文翻译：

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Oka映射的椭圆表征和统一

我们将Oka流形的椭圆化特征推广到Oka映射。广义特征可以被视为对Gromov猜想的相对形式的肯定回答。作为一种应用，我们统一了以前已知的Oka浸入式原理；对于椭圆形浸入，即Gromov型Oka原理，对于具有CAP纤维的全同形纤维束，则采用Forstnerič型Oka原理。我们还建立了Oka地图的定位原理，从而给出了Oka地图的新示例。