In this #SHORTS video, we offer a brief idea of what a (smooth) manifold is. Smooth manifolds, topological manifolds, Riemannian manifolds, complex manifolds, are some of the main objects in the vast field of geometry. These spaces are (topological) spaces that are locally Euclidean.

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🐸 To learn how I make these animations using Grant Sanderson's (3Blue1Brown) program Manim, check out my quick intro to Manim on Skillshare: [ Ссылка ]

🎸 Music in this video is from Epidemic Sound: [ Ссылка ]
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These videos are separate from my research and teaching roles at the Australian National University, University of Sydney, and Beijing University.

These videos are made using the open-source library -- Manim -- created by 3blue1brown: [ Ссылка ]

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