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Increased availability of hyperspectral data and greater access to advanced computing have motivated development of more advanced methods for exploitation of nonlinear characteristics of these data. Advances in manifold learning developed within the machine learning community are now being adapted for analysis of hyperspectral data. This chapter investigates the performance of popular global (Isomap and KPCA) and local manifold nonlinear learning methods (LLE, LTSA, LE) for dimensionality reduction in the context of classification. Experiments were conducted on hyperspectral data acquired by multiple sensors at various spatial resolutions over different types of land cover. Nonlinear dimensionality reduction methods often outperformed linear extraction methods and rivaled or were superior to those obtained using the full dimensional data.