Conservative principle for differential forms

Ahlfors Theorems for Differential Forms

and Applied Analysis 3 Let y1, . . . , yk be an orthonormal system of coordinates in R, 1 ≤ k ≤ n. Let A be a domain in R, and let B be an n − k -dimensional Riemannian manifold. We consider the manifold N A × B. 2. Boundary Sets Below we introduce the notions of parabolic and hyperbolic type of boundary sets on noncompact Riemannian manifolds and study exhaustion functions of such sets. We als...

Differential Forms

Differentials are an important topic in algebraic geometry, allowing the use of some classical geometric arguments in the context of varieties over any field. We will use them to define the genus of a curve, and to analyze the ramification of morphisms between curves. Although differentials remain important for arbitrary varieties, we will restrict our treatment to the case of nonsingular varie...

Differential Forms

We’ve hit the big three theorems of vector calculus: Green’s, Stokes’, and the Divergence Theorem (although Green’s theorem is really a pretty obvious special case of Stokes’ theorem). But it’s an amazing fact that all of these theorems are really special cases of an even larger theorem that unifies all that we’ve studied so far. This new theory also extends what we’ve done to spaces of arbitra...

Conservative treatment of genital endometriosis forms

The article gives a brief overview of the possibilities of conservative treatment of endometriosis. Taking as a basis the known pathophysiology of the disease, this involves hormonal treatment – not just of the kinds currently used, such as combined hormonal contraceptives, progestins or gonadotrophin analogues, but also a method which has undergone clinical studies but is rarely used today due...

Conservative Forms of Boltzmann ' Scollision Operator : Landau