Wikipedia:WikiProject Mathematics/PlanetMath Exchange/58-XX Global analysis, analysis on manifolds
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This page provides a list of all articles available at PlanetMath in the following topic:
- 58-XX Global analysis, analysis on manifolds.
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.
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- 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.
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[edit] 58A05 Differentiable manifolds, foundations
- PM: Morse homology, id=7174new! -- WP guess: Morse homology -- Status:
[edit] 58A10 Differential forms
- PM: differential form, id=3050 -- WP: differential form -- Status: A
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- The WP article on this seems a little thin, but I don't think the PM content would help much. Jtwdog 17:57, 28 September 2005 (UTC)
- PM: formulas for differential forms of small valence, id=6981new! -- WP guess: formulas for differential forms of small valence -- Status:
[edit] 58A20 Jets
- PM: jet bundle, id=7333new! -- WP guess: jet bundle -- Status:
[edit] 58A25 Currents
- PM: current, id=5980 -- WP: current (mathematics) -- Status: C
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- Jtwdog 18:09, 28 October 2005 (UTC)
- PM: rectifiable current, id=6001 -- WP guess: rectifiable current -- Status: N
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- This seems to be getting a little too technical. That may just be my prejudice against functional analysis, though. Jtwdog 17:55, 28 September 2005 (UTC)
[edit] 58A32 Natural bundles
- PM: conormal bundle, id=4759 -- WP: conormal bundle -- Status: NM
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- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: cotangent bundle, id=4757 -- WP: cotangent bundle -- Status: A
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- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: cotangent bundle is a bundle, id=6593 -- WP: cotangent bundle -- Status: N
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- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: normal bundle, id=4758 -- WP: normal bundle -- Status: NM
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- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: Poincaré 1-form, id=6405 -- WP: cotangent bundle -- Status: NM
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- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: proof that transition functions of cotangent bundle are valid, id=6550 -- WP: cotangent bundle -- Status: N
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- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: tangent bundle, id=4756 -- WP: tangent bundle -- Status: A
[edit] 58B20 Riemannian, Finsler and other geometric structures
- PM: Finsler geometry, id=6780new! -- WP guess: Finsler geometry -- Status:
[edit] 58C05 Real-valued functions
[edit] 58C35 Integration on manifolds; measures on manifolds
- PM: general Stokes theorem, id=3052 -- WP: Stokes theorem -- Status: A
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- Jtwdog 18:13, 28 September 2005 (UTC)
- PM: proof of general Stokes theorem, id=4370 -- WP: Stokes theorem -- Status: N
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- Jtwdog 18:13, 28 September 2005 (UTC)
[edit] 58C40 Spectral theory; eigenvalue problems
- PM: spectral radius, id=3703 -- WP guess: spectral radius -- Status: A
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- Jtwdog 18:14, 28 September 2005 (UTC)
[edit] 58E05 Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirelman) theory, etc.)
- PM: Morse complex, id=4633 -- WP: Morse function -- Status: A
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- Jtwdog 18:17, 28 September 2005 (UTC)
- PM: Morse function, id=4632 -- WP: Morse function -- Status: A
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- Jtwdog 18:17, 28 September 2005 (UTC)
- PM: Morse lemma, id=4631 -- WP: Morse lemma -- Status: A
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- Jtwdog 18:17, 28 September 2005 (UTC)
[edit] 58E40 Group actions
- PM: centralizer, id=4978 -- WP: centralizer -- Status:A
- Oleg Alexandrov 22:52, 13 September 2005 (UTC)