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Timeline for Directional gradient on sphere

Current License: CC BY-SA 4.0

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Aug 29, 2020 at 9:55 vote accept Sascha
Aug 27, 2020 at 17:31 answer added Iosif Pinelis timeline score: 2
Aug 27, 2020 at 13:46 comment added Liviu Nicolaescu If $M$ is a smooth submanifold of a Euclidean space $E$, $U\subset E$ is an open subset of $E$ containing $M$ and $f:U\to\mathbb{R}$ is a $C^1$-function, then for every $p\in M$ we have $\nabla^M f(p)= \mathrm{Proj}_p\nabla^E f(p)$, where $\mathrm{Proj}_p:E \to T_p M$ denotes the orthogonal projection onto the tangent space to $M$ at $p$.
Aug 27, 2020 at 10:15 history edited Sascha CC BY-SA 4.0
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Aug 27, 2020 at 10:09 review Close votes
Aug 30, 2020 at 14:06
Aug 27, 2020 at 9:18 history asked Sascha CC BY-SA 4.0