Wiki143:WikiProject Mathematics/PlanetMath Exchange/58-XX Global analysis, analysis on manifolds

58A05 Differentiable manifolds, foundations

• PM: Morse homology, id=7174 -- WP guess: Morse homology -- Status:

58A10 Differential forms

• 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=7844^new! -- WP guess: common formulas in calculus of differential forms -- Status:

58A20 Jets

• PM: jet bundle, id=7333 -- WP guess: jet bundle -- Status:

58A25 Currents

• PM: current, id=5980 -- WP: current (mathematics) -- Status: C

Jtwdog 18:09, 28 October 2005 (UTC)

• 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

• PM: conormal bundle, id=4759 -- WP: conormal bundle -- Status: NM

Jtwdog 18:06, 28 September 2005 (UTC)

• PM: cotangent bundle, id=4757 -- WP: cotangent bundle -- Status: A

Jtwdog 18:06, 28 September 2005 (UTC)

• PM: cotangent bundle is a bundle, id=6593 -- WP: cotangent bundle -- Status: N

Jtwdog 18:06, 28 September 2005 (UTC)

• PM: normal bundle, id=4758 -- WP: normal bundle -- Status: NM

Jtwdog 18:06, 28 September 2005 (UTC)

• PM: Poincaré 1-form, id=6405 -- WP: cotangent bundle -- Status: NM

Jtwdog 18:06, 28 September 2005 (UTC)

• PM: proof that transition functions of cotangent bundle are valid, id=6550 -- WP: cotangent bundle -- Status: N

Jtwdog 18:06, 28 September 2005 (UTC)

• PM: tangent bundle, id=4756 -- WP: tangent bundle -- Status: A

58B20 Riemannian, Finsler and other geometric structures

• PM: Finsler geometry, id=6780 -- WP guess: Finsler geometry -- Status:

58C35 Integration on manifolds; measures on manifolds

• PM: general Stokes theorem, id=3052 -- WP: Stokes theorem -- Status: A

Jtwdog 18:13, 28 September 2005 (UTC)

• PM: proof of general Stokes theorem, id=4370 -- WP: Stokes theorem -- Status: N

Jtwdog 18:13, 28 September 2005 (UTC)

58C40 Spectral theory; eigenvalue problems

• PM: spectral radius, id=3703 -- WP guess: spectral radius -- Status: A

Jtwdog 18:14, 28 September 2005 (UTC)

58E05 Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirelman) theory, etc.)

• PM: Morse complex, id=4633 -- WP: Morse function -- Status: A

Jtwdog 18:17, 28 September 2005 (UTC)

• PM: Morse function, id=4632 -- WP: Morse function -- Status: A

Jtwdog 18:17, 28 September 2005 (UTC)

• PM: Morse lemma, id=4631 -- WP: Morse lemma -- Status: A

Jtwdog 18:17, 28 September 2005 (UTC)

58E40 Group actions

• PM: centralizer, id=4978 -- WP: centralizer -- Status:A

Oleg Alexandrov 22:52, 13 September 2005 (UTC)