suppose we have a principle fiber bundle P(adsbygoogle = window.adsbygoogle || []).push({});

at a point p \in P

we have the decomposition T_pP=V_pP + H_pP

it is said that the vertical subspace V_pP is uniquely defined while H_pP is not

i cannot understand this point

the complement to a unique subspace is surely unique, i think.

it is a basic fact in linear algebra.

**Physics Forums | Science Articles, Homework Help, Discussion**

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

# Vertical and horizontal subspace of a vector space T_pP.

**Physics Forums | Science Articles, Homework Help, Discussion**