Results 71 to 80 of about 1,417 (187)

On connections on principal bundles

Arab Journal of Mathematical Sciences, 2017
A new construction of a universal connection was given in Biswas, Hurtubise and Stasheff (2012). The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle E over a compact Riemann surface admits
Indranil Biswas
doaj   +1 more source

Osculating geometry and higher‐order distance Loci

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco, Kemal Rose, Luca Sodomaco   +2 more
wiley   +1 more source

Critically fixed Thurston maps: classification, recognition, and twisting

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract An orientation‐preserving branched covering map f:S2→S2$f\colon S^2\rightarrow S^2$ is called a critically fixed Thurston map if f$f$ fixes each of its critical points. It was recently shown that there is an explicit one‐to‐one correspondence between Möbius conjugacy classes of critically fixed rational maps and isomorphism classes of planar ...
Mikhail Hlushchanka, Nikolai Prochorov
wiley   +1 more source

Applications of Quaternionic Holomorphic Geometry to minimal surfaces

Complex Manifolds, 2016
In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications of the theory to minimal surfaces. We discuss recent developments in minimal surface theory using integrable systems.
Leschke K., Moriya K.
doaj   +1 more source

Mating parabolic rational maps with Hecke groups

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract We prove that any degree d$d$ rational map having a parabolic fixed point of multiplier 1 with a fully invariant and simply connected immediate basin of attraction is mateable with the Hecke group Hd+1$\mathcal {H}_{d+1}$, with the mating realised by an algebraic correspondence.
Shaun Bullett, Luna Lomonaco, Mikhail Lyubich, Sabyasachi Mukherjee   +3 more
wiley   +1 more source

An integral involving the generalized zeta function

International Journal of Mathematics and Mathematical Sciences, 1990
A general value for ∫abdtlogΓ(t), for a, b positive reals, is derived in terms of the Hurwitz ζ function. That expression is checked for a previously known special integral, and the case where a is a positive integer and b is half an odd integer is ...
E. Elizalde, A. Romeo
doaj   +1 more source

Seasonal Shift of Dissolved Organic Matter Stoichiometry in the Surface North Pacific Subtropical Gyre: Regulation by Enhanced N2 Fixation and DOP Utilization

Geophysical Research Letters, Volume 53, Issue 4, 28 February 2026.
Abstract Dissolved organic matter (DOM) pool acts as both nutrient source and sink in the oligotrophic surface ocean. However, the drivers of seasonal variations in DOM stoichiometry and their relationship to nutrient cycling remain poorly understood.
Lusong Zhang, Zuozhu Wen, Haizheng Hong, Sijing Kang, Peng Jiang, Shanshan Lin, Wen Lin, Dalin Shi, Xiaolin Li   +8 more
wiley   +1 more source

Geometry of transcendental singularities of complex analytic functions and vector fields

Complex Manifolds
On Riemann surfaces MM, there exists a canonical correspondence between a possibly multivalued function ΨX{\Psi }_{X} whose differential is single-valued (i.e. an additively automorphic singular complex analytic function) and a vector field XX.
Alvarez-Parrilla Alvaro, Muciño-Raymundo Jesús   +1 more
doaj   +1 more source

Mappings with finite length distortion and Riemann surfaces

Доповiдi Нацiональної академiї наук України
We prove a series of criteria in terms of dilatations for the continuous and homeomorphic extension of the map pings with finite length distortion between domains on Riemann surfaces to the boundary.
V.I. Ryazanov, S.V. Volkov
doaj   +1 more source

A Short Note On M-Symmetric Hyperelliptic Riemann Surfaces

Cubo, 2010
We provide an argument, based on Schottky groups, of a result due to B. Maskit which states a necessary and sufficient condition for the double oriented cover of a planar compact Klein surface of algebraic genus at least two to be a hyperelliptic Riemann
Rubén A Hidalgo
doaj