Wikipedia:WikiProject Mathematics/PlanetMath Exchange/53-XX Differential geometry
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This page provides a list of all articles available at PlanetMath in the following topic:
- 53-XX Differential geometry.
This list will be periodically updated. Each entry in the list has three fields:
- PM : The first field is the link to the PlanetMath article, along with the article's object ID.
- WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
- Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status | means PM article |
N | not needed |
A | adequately covered |
C | copied |
M | merged |
NC | needs copying |
NM | needs merging |
- Please update the WP and Status fields as appropriate.
- if the WP field is correct please remove the qualifier "guess".
- If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
- If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
- If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.
Don't forget to include the relevant template if you copy over text or feel like an external link is warranted
- {{planetmath|id=|title=}} for copied over text
- {{planetmath reference|id=|title=}} for an external link
See the main page for examples and usage criteria.
One can use the web-based program Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.
53-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- PM: closed differential forms on a simply connected domain, id=4146 -- WP guess: closed differential forms on a simply connected domain -- Status:
- PM: differential operator, id=1984 -- Duplicate entry.
- PM: distribution, id=6541 -- WP guess: distribution -- Status:
- PM: exact (differential form), id=3669 -- WP guess: exact (differential form) -- Status:
- PM: Frobenius' theorem, id=6543 -- Duplicate entry.
- PM: fundamental concepts in differential geometry, id=6441 -- WP guess: fundamental concepts in differential geometry -- Status:
- PM: integral curve, id=5512 -- WP guess: integral curve -- Status:
- PM: Lie bracket, id=5591 -- WP: Lie derivative -- Status: WP article more complete
- linas 04:40, 11 Apr 2005 (UTC)
- PM: Lie derivative, id=3707 -- WP: Lie derivative -- Status: WP article more complete
- linas 04:38, 11 Apr 2005 (UTC)
- PM: Lie derivative (for vector fields), id=5590 -- WP: Lie derivative -- Status: WP article more complete
- linas 04:38, 11 Apr 2005 (UTC)
- PM: locally Euclidean, id=5692 -- WP guess: locally Euclidean -- Status:
- PM: metric tensor, id=4364 -- WP: metric tensor -- Status: WP article more complete
- linas 04:43, 11 Apr 2005 (UTC)
- PM: notes on the classical definition of a manifold, id=5691 -- WP guess: notes on the classical definition of a manifold -- Status:
- PM: Poincaré lemma, id=5509 -- WP guess: Poincaré lemma -- Status:
- PM: proof of closed differential forms on a simple connected domain, id=4147 -- WP guess: proof of closed differential forms on a simple connected domain -- Status:
- PM: proof of Poincaré lemma, id=5912 -- WP guess: proof of Poincaré lemma -- Status:
- PM: pullback of a k-form, id=4895 -- WP guess: pullback of a k-form -- Status:
- PM: tangent map, id=5506 -- WP guess: tangent map -- Status:
- PM: tangent space, id=2007 -- WP guess: tangent space -- Status:
- PM: topological manifold, id=5693 -- WP: topological manifold -- Status: WP article more complete
- linas 04:45, 11 Apr 2005 (UTC)
53-01 Instructional exposition (textbooks, tutorial papers, etc.)
53A04 Curves in Euclidean space
- PM: curvature (space curve), id=1632 -- WP guess: curvature (space curve) -- Status:
- PM: Frenet frame, id=1660 -- WP guess: Frenet frame -- Status:
- PM: fundamental theorem of space curves, id=3929 -- WP guess: fundamental theorem of space curves -- Status:
- PM: Serret-Frenet equations, id=1636 -- WP guess: Serret-Frenet equations -- Status:
- PM: space curve, id=1633 -- WP guess: space curve -- Status:
53A17 Kinematics
- PM: related rates, id=3054 -- Duplicate entry.
53A35 Non-Euclidean differential geometry
- PM: Smarandache geometries, id=5769 -- WP guess: Smarandache geometries -- Status:
53A45 Vector and tensor analysis
- PM: closed (differential form), id=3668 -- WP guess: closed (differential form) -- Status:
- PM: related rates, id=3054 -- Duplicate entry.
53A99 Miscellaneous
- PM: Euclidean distance, id=1318 -- WP guess: Euclidean distance -- Status:
- PM: some structures on \mathbb{R}^n, id=5419 -- WP guess: some structures on \mathbbR^n -- Status:
53B05 Linear and affine connections
- PM: affine connection, id=6191 -- WP: affine connection -- Status: Needs to be merged
- linas 04:23, 11 Apr 2005 (UTC)
- PM: conjugate points, id=6159 -- WP guess: conjugate points -- Status:
- PM: connection, id=2880 -- WP: connection -- Status: Needs to te merged
- The PM article is quite a bit larger linas 04:25, 11 Apr 2005 (UTC)
- PM: Levi-Civita connection, id=4765 -- WP: Levi-Civita connection -- Status: WP article adequate
- linas 04:29, 11 Apr 2005 (UTC)
- PM: Riemann normal coordinates, id=6157 -- WP guess: Riemann normal coordinates -- Status:
- PM: vector field along a curve, id=4755 -- WP guess: vector field along a curve -- Status:
53B21 Methods of Riemannian geometry
- PM: Hodge star operator, id=4120 -- WP: Hodge star operator -- Status: Needs to be merged
- PM: Riemannian manifold, id=3452 -- WP: Riemannian manifold -- Status: Needs to be merged
53B25 Local submanifolds
- PM: curve, id=3255 -- Duplicate entry.
- PM: Frobenius' theorem, id=6543 -- Duplicate entry.
- PM: integral manifold, id=6542 -- Duplicate entry.
- PM: local Nagano theorem, id=6464 -- Duplicate entry.
- PM: submanifold, id=6440 -- Duplicate entry.
53B99 Miscellaneous
- PM: example of rewriting a differential equation as a Pfaffian system, id=6235 -- WP guess: example of rewriting a differential equation as a Pfaffian system -- Status:
- PM: germ of smooth functions, id=3501 -- WP guess: germ of smooth functions -- Status:
- PM: Pfaff's problem, id=6210 -- WP guess: Pfaff's problem -- Status:
53C17 Sub-Riemannian geometry
- PM: Sub-Riemannian manifold, id=4754 -- WP: Sub-Riemannian manifold -- Status: WP article more complete
- linas 04:48, 11 Apr 2005 (UTC)
53C22 Geodesics
- PM: affine parameter, id=6164 -- WP guess: affine parameter -- Status:
- linas 04:33, 11 Apr 2005 (UTC)
53C40 Global submanifolds
- PM: submanifold, id=6440 -- Duplicate entry.
53D05 Symplectic manifolds, general
- PM: almost complex structure, id=3739 -- WP guess: almost complex structure -- Status:
- PM: coadjoint orbit, id=4760 -- WP guess: coadjoint orbit -- Status:
- PM: Darboux's Theorem (symplectic geometry), id=3738 -- WP guess: Darboux's Theorem (symplectic geometry) -- Status:
- PM: examples of symplectic manifolds, id=3672 -- WP guess: examples of symplectic manifolds -- Status:
- PM: Hamilton equations, id=6410 -- WP guess: Hamilton equations -- Status:
- PM: Hamiltonian vector field, id=3706 -- WP guess: Hamiltonian vector field -- Status:
- PM: if the algebra of functions on a manifold is a Poisson ring then the manifold is symplectic, id=6422 -- WP guess: if the algebra of functions on a manifold is a Poisson ring then the manifold is symplectic -- Status:
- PM: isotropic submanifold, id=3670 -- WP guess: isotropic submanifold -- Status:
- PM: lagrangian submanifold, id=3671 -- WP guess: lagrangian submanifold -- Status:
- PM: Moser's theorem, id=3806 -- WP guess: Moser's theorem -- Status:
- PM: Poisson bracket, id=6412 -- WP guess: Poisson bracket -- Status:
- PM: Poisson ring, id=6414 -- WP guess: Poisson ring -- Status:
- PM: proof of Darboux's Theorem (symplectic geometry), id=5589 -- WP guess: proof of Darboux's Theorem (symplectic geometry) -- Status:
- PM: symplectic manifold, id=3667 -- WP: symplectic manifold -- Status: Needs ot be merged
- This should be a trival merge, just pick up def for symplectomorphism, and defn of non-degeneracy. linas 04:53, 11 Apr 2005 (UTC)
- PM: symplectic matrix, id=4140 -- WP: symplectic matrix -- Status: WP article adequate
- linas 04:53, 11 Apr 2005 (UTC)
- PM: symplectic vector field, id=3705 -- WP guess: symplectic vector field -- Status:
- PM: symplectic vector space, id=4138 -- WP guess: symplectic vector space -- Status:
53D10 Contact manifolds, general
- PM: contact manifold, id=4409 -- WP guess: contact manifold -- Status:
53D20 Momentum maps; symplectic reduction
- PM: momentum map, id=3718 -- WP guess: momentum map -- Status: