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.
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58A05 Differentiable manifolds, foundations
[edit]- PM: Morse homology, id=7174 -- WP guess: Morse homology -- Status:
58A10 Differential forms
[edit]- PM: differential form, id=3050 -- WP: differential form -- Status: A
- 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=6981 -- WP guess: formulas for differential forms of small valence -- Status:
- PM: common formulas in calculus of differential forms, id=7844new! -- WP guess: common formulas in calculus of differential forms -- Status:
58A12 de Rham theory
[edit]58A20 Jets
[edit]- PM: jet bundle, id=7333 -- WP guess: jet bundle -- Status:
58A25 Currents
[edit]- PM: current, id=5980 -- WP: current (mathematics) -- Status: C
- PM: rectifiable current, id=6001 -- WP guess: rectifiable current -- Status: N
- 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)
58A32 Natural bundles
[edit]- PM: conormal bundle, id=4759 -- WP: conormal bundle -- Status: NM
- PM: cotangent bundle, id=4757 -- WP: cotangent bundle -- Status: A
- PM: cotangent bundle is a bundle, id=6593 -- WP: cotangent bundle -- Status: N
- PM: normal bundle, id=4758 -- WP: normal bundle -- Status: NM
- PM: Poincaré 1-form, id=6405 -- WP: cotangent bundle -- Status: NM
- PM: proof that transition functions of cotangent bundle are valid, id=6550 -- WP: cotangent bundle -- Status: N
- PM: tangent bundle, id=4756 -- WP: tangent bundle -- Status: A
58Axx General theory of differentiable manifolds
[edit]58B20 Riemannian, Finsler and other geometric structures
[edit]- PM: Finsler geometry, id=6780 -- WP guess: Finsler geometry -- Status:
58Bxx Infinite-dimensional manifolds
[edit]58C05 Real-valued functions
[edit]58C35 Integration on manifolds; measures on manifolds
[edit]- PM: general Stokes theorem, id=3052 -- WP: Stokes theorem -- Status: A
- PM: proof of general Stokes theorem, id=4370 -- WP: Stokes theorem -- Status: N
58C40 Spectral theory; eigenvalue problems
[edit]- PM: spectral radius, id=3703 -- WP guess: spectral radius -- Status: A
58Cxx Calculus on manifolds; nonlinear operators
[edit]58E05 Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirelman) theory, etc.)
[edit]- PM: Morse complex, id=4633 -- WP: Morse function -- Status: A
- PM: Morse function, id=4632 -- WP: Morse function -- Status: A
- PM: Morse lemma, id=4631 -- WP: Morse lemma -- Status: A
58E40 Group actions
[edit]- PM: centralizer, id=4978 -- WP: centralizer -- Status:A