name for vector/tensor field only defined in a discrete set of points
$begingroup$
I'm looking for the proper way to refer to a finite or countable set of vectors/tensors 'placed' in some manifold.
The closest word I know is field, but that assumes every point in the manifold has a mapping to a vector/tensor, whereas in my case only a set of measure 0 do.
I've found the notion of incomplete vector field, but that seems defined in a subset of positive measure.
differential-geometry tensors vector-fields
asked Dec 27 '18 at 16:22
etaletal
1536
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add a comment |
$begingroup$
I'm looking for the proper way to refer to a finite or countable set of vectors/tensors 'placed' in some manifold.
The closest word I know is field, but that assumes every point in the manifold has a mapping to a vector/tensor, whereas in my case only a set of measure 0 do.
I've found the notion of incomplete vector field, but that seems defined in a subset of positive measure.
differential-geometry tensors vector-fields
asked Dec 27 '18 at 16:22
etaletal
1536
$endgroup$
add a comment |
$begingroup$
I'm looking for the proper way to refer to a finite or countable set of vectors/tensors 'placed' in some manifold.
The closest word I know is field, but that assumes every point in the manifold has a mapping to a vector/tensor, whereas in my case only a set of measure 0 do.
I've found the notion of incomplete vector field, but that seems defined in a subset of positive measure.
differential-geometry tensors vector-fields
asked Dec 27 '18 at 16:22
etaletal
1536
$endgroup$
I'm looking for the proper way to refer to a finite or countable set of vectors/tensors 'placed' in some manifold.
The closest word I know is field, but that assumes every point in the manifold has a mapping to a vector/tensor, whereas in my case only a set of measure 0 do.
I've found the notion of incomplete vector field, but that seems defined in a subset of positive measure.
differential-geometry tensors vector-fields
differential-geometry tensors vector-fields
asked Dec 27 '18 at 16:22
etaletal
1536
asked Dec 27 '18 at 16:22
etaletal
1536
asked Dec 27 '18 at 16:22
etaletal
1536
asked Dec 27 '18 at 16:22
etaletal
1536
asked Dec 27 '18 at 16:22
etaletal
1536
1536
add a comment |
add a comment |
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