Natural Operations in Differential Geometry
Ivan Kolar · Peter W. Michor · Jan Slovak
mar 2013. · Springer Science & Business Media
E-knjiga
434
Broj stranica
reportOcjene i recenzije nisu potvrđene Saznajte više
O ovoj e-knjizi
The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op erators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general concepts. The vector bundle A kT* M is in fact the value of a functor, which associates a bundle over M to each manifold M and a vector bundle homomorphism over f to each local diffeomorphism f between manifolds of the same dimension. This is a simple example of the concept of a natural bundle. The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M.
Ocijenite ovu e-knjigu
Recite nam šta mislite.
Informacije o čitanju
Pametni telefoni i tableti
Instalirajte aplikaciju Google Play Knjige za Android i iPad/iPhone uređaje. Aplikacija se automatski sinhronizira s vašim računom i omogućava vam čitanje na mreži ili van nje gdje god da se nalazite.
Laptopi i računari
Audio knjige koje su kupljene na Google Playu možete slušati pomoću web preglednika na vašem računaru.
Elektronički čitači i ostali uređaji
Da čitate na e-ink uređajima kao što su Kobo e-čitači, morat ćete preuzeti fajl i prenijeti ga na uređaj. Pratite detaljne upute Centra za pomoć da prenesete fajlove na podržane e-čitače.
