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Title: Tangent Curves
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Series: Manifolds
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YouTube-Title: Manifolds 20 | Tangent Curves
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Bright video: https://youtu.be/6ULTQ7nfItw
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Dark video: https://youtu.be/fClddpoMvP8
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Ad-free video: Watch Vimeo video
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Quiz: Test your knowledge
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Dark-PDF: Download PDF version of the dark video
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Print-PDF: Download printable PDF version
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Thumbnail (bright): Download PNG
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: mf20_sub_eng.srt missing
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: How can the tangent space for a submanifold be described?
A1: $$ T^{\mathrm{sub}}_p(M) = { \gamma^\prime(0) \mid \gamma: (-\varepsilon, \varepsilon) \rightarrow M , , \gamma(0) = p } $$
A2: $$ T^{\mathrm{sub}}_p(M) = { \gamma(0) \mid \gamma: (-\varepsilon, \varepsilon) \rightarrow M \text{ with } \gamma(1) = 0 } $$
A3: $$ T^{\mathrm{sub}}_p(M) = { \gamma(0) \mid \gamma: (-\varepsilon, \varepsilon) \rightarrow M } $$
A4: $$ T^{\mathrm{sub}}_p(M) = { \gamma^\prime(0) \mid \gamma: (-\varepsilon, \varepsilon) \rightarrow M } $$
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Last update: 2024-10
