Dear all,(adsbygoogle = window.adsbygoogle || []).push({});

in what sense the tangent space is the best approximation of a manifold?

The idea is clear to me when we think about a surface in Rn and its tangent plane at a point.

But what does this mean when we are referring to very general manifolds?

In what sense "approximation" and in what sense "best"?

Thanks.

Goldbeetle

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Tangent space as best approximation

Loading...

Similar Threads - Tangent space best | Date |
---|---|

I Polarization Formulae for Inner-Product Spaces ... | Mar 9, 2018 |

Insights Hilbert Spaces And Their Relatives - Part II - Comments | Mar 6, 2018 |

I R^n as a normed space ... D&K Lemma 1.1.7 ... | Feb 28, 2018 |

A Fourier transform of hyperbolic tangent | Oct 5, 2016 |

Function + tangent line = 0 | Aug 22, 2014 |

**Physics Forums - The Fusion of Science and Community**