Skip to content
This repository has been archived by the owner on Jan 30, 2023. It is now read-only.

Commit

Permalink
Fix display name degenerate_metric > degenerate metric
Browse files Browse the repository at this point in the history
  • Loading branch information
tobiasdiez committed Feb 19, 2022
1 parent e46ada8 commit 1231cc0
Showing 1 changed file with 10 additions and 10 deletions.
20 changes: 10 additions & 10 deletions src/sage/manifolds/differentiable/degenerate.py
Original file line number Diff line number Diff line change
Expand Up @@ -72,15 +72,15 @@ class DegenerateManifold(DifferentiableManifold):
sage: M = Manifold(3, 'M', structure='degenerate_metric')
sage: M
3-dimensional degenerate_metric manifold M
3-dimensional degenerate metric manifold M
sage: M.parent()
<class 'sage.manifolds.differentiable.degenerate.DegenerateManifold_with_category'>
The metric associated with ``M`` is::
sage: g = M.metric()
sage: g
degenerate metric g on the 3-dimensional degenerate_metric manifold M
degenerate metric g on the 3-dimensional degenerate metric manifold M
sage: g.signature()
(0, 2, 1)
Expand Down Expand Up @@ -108,12 +108,12 @@ def __init__(self, n, name, metric_name=None, signature=None,
sage: M = Manifold(3, 'M', structure='degenerate_metric')
sage: M
3-dimensional degenerate_metric manifold M
3-dimensional degenerate metric manifold M
sage: type(M)
<class 'sage.manifolds.differentiable.degenerate.DegenerateManifold_with_category'>
sage: X.<x,y,z> = M.chart()
sage: M.metric()
degenerate metric g on the 3-dimensional degenerate_metric manifold M
degenerate metric g on the 3-dimensional degenerate metric manifold M
sage: TestSuite(M).run()
"""
Expand Down Expand Up @@ -189,7 +189,7 @@ class :class:`~sage.manifolds.differentiable.diff_map.DiffMap`
sage: M = Manifold(3, 'M', structure='degenerate_metric', start_index=1)
sage: X.<x,y,z> = M.chart()
sage: g = M.metric(); g
degenerate metric g on the 3-dimensional degenerate_metric manifold M
degenerate metric g on the 3-dimensional degenerate metric manifold M
The metric remains to be initialized, for instance by setting its
components in the coordinate frame associated to the chart ``X``::
Expand All @@ -212,7 +212,7 @@ class :class:`~sage.manifolds.differentiable.diff_map.DiffMap`
sage: b = dx*dx + dy*dy
sage: b
Field of symmetric bilinear forms dx⊗dx+dy⊗dy on the 3-dimensional
degenerate_metric manifold M
degenerate metric manifold M
We then use the metric method
:meth:`~sage.manifolds.differentiable.metric.DegenerateMetric.set`
Expand All @@ -229,7 +229,7 @@ class :class:`~sage.manifolds.differentiable.diff_map.DiffMap`
``metric_name`` in :func:`~sage.manifolds.manifold.Manifold`)::
sage: h = M.metric('h'); h
degenerate metric h on the 3-dimensional degenerate_metric manifold M
degenerate metric h on the 3-dimensional degenerate metric manifold M
sage: h[1,1], h[2,2], h[3,3] = 1+y^2, 1+z^2, 1+x^2
sage: h.display()
h = (y^2 + 1) dx⊗dx + (z^2 + 1) dy⊗dy + (x^2 + 1) dz⊗dz
Expand Down Expand Up @@ -307,7 +307,7 @@ def open_subset(self, name, latex_name=None, coord_def={}):
sage: M = Manifold(3, 'M', structure='degenerate_metric', start_index=1)
sage: X.<x,y,z> = M.chart()
sage: U = M.open_subset('U', coord_def={X: [x>0, y>0]}); U
Open subset U of the 3-dimensional degenerate_metric manifold M
Open subset U of the 3-dimensional degenerate metric manifold M
sage: type(U)
<class 'sage.manifolds.differentiable.degenerate.DegenerateManifold_with_category'>
Expand All @@ -321,7 +321,7 @@ def open_subset(self, name, latex_name=None, coord_def={}):
sage: gU = U.metric(); gU
degenerate metric g on the Open subset U of the 3-dimensional
degenerate_metric manifold M
degenerate metric manifold M
sage: gU.display()
g = -dx⊗dx + dy⊗dy
sage: gU is g.restrict(U)
Expand All @@ -332,7 +332,7 @@ def open_subset(self, name, latex_name=None, coord_def={}):
Open subset created after the initialization of the metric::
sage: V = M.open_subset('V', coord_def={X: x<0}); V
Open subset V of the 3-dimensional degenerate_metric manifold M
Open subset V of the 3-dimensional degenerate metric manifold M
sage: gV = V.metric()
sage: gV.display()
g = -dx⊗dx + dy⊗dy
Expand Down

0 comments on commit 1231cc0

Please sign in to comment.