Some Theorems in the Geometry of Oriented Circles in a Plane

Our guiding philosophy will now be to prove refined Kato inequalities for sections lying in the kernels of natural first-order elliptic operators on E, with the constants given in

In particular, they showed that the fifth-order Kaup–Kupershmidt equation is induced by a local motion in centro-affine geometry and that modified versions of the fifth-

Next, we will examine the notion of generalization of Ramsey type theorems in the sense of a given zero sum theorem in view of the new

We present sufficient conditions for the existence of solutions to Neu- mann and periodic boundary-value problems for some class of quasilinear ordinary differential equations.. We

Analogs of this theorem were proved by Roitberg for nonregular elliptic boundary- value problems and for general elliptic systems of differential equations, the mod- ified scale of

Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A

Definition An embeddable tiled surface is a tiled surface which is actually achieved as the graph of singular leaves of some embedded orientable surface with closed braid

Thus, it follows from Remark 5.7.2, (i), that if every absolutely characteristic MLF is absolutely strictly radical, then we conclude that the absolute Galois group Gal(k/k (d=1) )