Re: What does HORIZONTAL mean to physicists?

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#676

From: Steven Smith
Date: Mon, 06 Apr 1992 18:18

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In article <1992Mar31.181342.19797@ecsvax.uncecs.edu> karim@oak.uncwil.edu (Omar A. Karim -- UNCW Physics -- 919-395-3467) writes:

> Quick, what does HORIZONTAL mean?

Why, given a smooth manifold M and letting B denote its frame bundle
and V_b the vertical space at b in B, it is a smooth choice of a
subspace H_b in the tangent space B_b for all b in B such that
B_b = H_b + V_b (direct sum) and {H_b}_b is right invariant with
respect to the action of GL(n) on B.

Steven Smith

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Path: arc1-ca.pugleaf.net!sparky!uunet!ogicse!das-news.harvard.edu!das-news!smith
From: smith@gramian.harvard.edu (Steven Smith)
Newsgroups: sci.physics,sci.math
Subject: Re: What does HORIZONTAL mean to physicists?
Message-ID: <SMITH.92Apr6131821@gramian.harvard.edu>
Date: 6 Apr 92 18:18:21 GMT
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