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Felix Hilsky
masterthesis
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0a227b50
Commit
0a227b50
authored
Aug 10, 2022
by
Felix Hilsky
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fix ref
parent
f037b8ef
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tex/introduction.tex
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@@ -202,7 +202,7 @@ As a consequence the definitions of unit vector fields, line fields and Sobolev
because the directions need to be tangent to the manifold and the tangent spaces at different points are distinct.
In the flat case on the other hand all tangent spaces can be identified.
As the first step we define the unit vector fields and line fields as vector fields tangent to the domain manifold.
The line fields are defined as special 2-tensors because it is a special case of the
\newTerm
{$
Q
$
-tensor
}
model discussed in
\cref
{
sec:
qtensor
}
.
The line fields are defined as special 2-tensors because it is a special case of the
\newTerm
{$
Q
$
-tensor
}
model discussed in
\cref
{
sec:
fs-vs-ldg
}
.
% $Q$-tensors are a more general model for liquid crystals
% Here would be a good point to mention Q-Tensors but they and Landau de Gennes were not introduced yet.
% At this point we decide to define them as contravariant since this is the natural way of seeing directions.
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