Also sometimes called Neural Manifolds.
Perceptual manifolds arise when a neural population responds to an ensemble of sensory signals associated with different physical features (e.g., orientation, pose, scale, location, and intensity) of the same perceptual object. Object recognition and discrimination require classifying the manifolds in a manner that is insensitive to variability within a manifold.
Paywalled H. S. Seung and D. D. Lee, The Manifold Ways of Perception, Science 290, 2268 (2000).