Re: differential/algebraic geometry

Orion wrote:

> Is differential/algebraic geometry and multilinear algebra basically
> one and the same?

It seems to me that you have asked two more or less unrelated questions:

1. What is the relation between differential and algebraic geometry

2. What is the relation between differential geometry
and multilinear algebra.

On the second, I would say that the tensor calculus,
which is the basic tool in differential geometry,
is an application of multilinear algebra,
but not the only one.
(Eg determinants are part of multilinear algebra,
and are obviously used outside differential geometry.)


--
Timothy Murphy
e-mail (<80k only): tim /at/ birdsnest.maths.tcd.ie
tel: +353-86-2336090, +353-1-2842366
s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland
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