We give an example of a bounded, pseudoconvex, circular domain in Cn for any n ≥ 3 with smooth real-analytic boundary and non-compact automorphism group, which is not biholomorphically equivalent to any Reinhardt domain. We also give an analogous example in C, where the domain is bounded, non-pseudoconvex, is not equivalent to any Reinhardt domain, and the boundary is smooth real-analytic at al...

Let k , n ? 2 be integers. A generalized Fermat curve of type ( ) is a compact Riemann surface S that admits subgroup conformal automorphisms H ? Aut isomorphic to Z such the quotient / biholomorphic sphere C ˆ and has + 1 branch points, each one order . There exists good algebraic model for these objects, which makes them easier study. Using tools from topology integration theory on surfaces, ...

‎we determine the‎ ‎form of polynomially bounded solutions to the loewner differential ‎equation that is satisfied by univalent subordination chains of the‎ ‎form $f(z,t)=e^{int_0^t a(tau){rm d}tau}z+cdots$‎, ‎where‎ ‎$a:[0,infty]rightarrow l(mathbb{c}^n,mathbb{c}^n)$ is a locally‎ ‎lebesgue integrable mapping and satisfying the condition‎ ‎$$sup_{sgeq0}int_0^inftyleft|expleft{int_s^t‎ ‎[a(tau)...

This article aims to investigate the curvature operator of second kind on Kähler manifolds. The first result states that an m-dimensional manifold with $$\frac{3}{2}(m^2-1)$$ -nonnegative (respectively, -nonpositive) must have constant nonnegative nonpositive) holomorphic sectional curvature. asserts a closed $$\left( \frac{3m^3-m+2}{2m}\right) $$ -positive has positive orthogonal bisectional c...

Abstract In the paper there is considered a generalization of well-known Fekete–Szegö type problem onto some Bavrin’s families complex valued holomorphic functions several variables. The definitions correspond to geometric properties univalent variable, like as starlikeness and convexity. First all, are investigated such which elements satisfy also ( j , k )-symmetry condition. As application t...

Background and Aim: Brain mapping is a study of the anatomy and function of the CNS (central nervous system). Brain mapping has many techniques and these techniques are permanently changing and updating. From the beginning, brain mapping was invasive and for brain mapping, electrical stimulation of the exposed brain was needed. However, nowadays brain mapping does not require electrical stimula...