I am trying to understand why the following expression is a homotopy invariant.(adsbygoogle = window.adsbygoogle || []).push({});

Start with 2 closed 1 forms whose wedge product is null homologous.

w1^w2 + dw12 = 0

I want to understand why

[tex] \int w_ {1}w_ {2} + \int w_ {12} [/tex]

is a homotopy invariant of smooth paths where

[tex] \int w_{1}w_{2} [/tex]

is the iterated integral of the two 1 forms along the path

**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!

# Problem with iterated integrals

Loading...

Similar Threads - Problem iterated integrals | Date |
---|---|

I Problems in Differential geometry | Aug 18, 2017 |

I Problem when solving example with differential forms | Apr 9, 2017 |

I Levi-Civita: very small problem, need two steps explained | Sep 23, 2016 |

Problem with definition of tensor | May 18, 2015 |

How to generalize the fixed point iteration | Aug 14, 2012 |

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