Vladimir Michaelovich Miklyukov (russian: Миклюков, Владимир Михайлович, also spelled Miklioukov or Mikljukov) (8 January 1944 – October 2013) was a Russian educator in

mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

, and head of the Superslow Process workgroup based at

Volgograd State University Volgograd State University (VolSU, russian: Волгоградский государственный университет) is a public university and one of the leading institutions of higher education in Volgograd, Russia. History The first ...

Biography

In 1970, as a student of Georgy D. Suvorov at Donetsk National University, he defended his

Ph.D. thesis A thesis ( : theses), or dissertation (abbreviated diss.), is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings.International Standard ISO 7144: ...

''Theory of Quasiconformal Mappings in Space''. In 1981 Miklyukov and his family moved to Volgograd. He was transferred to the newly built

where he became chairman of the Department of Mathematical Analysis and

Theory of Functions Function theory may refer to: * Theory of functions of a real variable, the traditional name of real analysis, a branch of mathematical analysis dealing with the real numbers and real-valued functions of a real variable * Theory of functions of a ...

. His scientific research focused on geometrical analysis. At the same time, he was studying zero mean curvature surfaces in Euclidean and pseudo-Euclidean spaces, nonlinear elliptic type partial differential equations and

quasiregular map In the mathematical field of analysis, quasiregular maps are a class of continuous maps between Euclidean spaces R''n'' of the same dimension or, more generally, between Riemannian manifolds of the same dimension, which share some of the basic pro ...

pings of

Riemannian manifold In differential geometry, a Riemannian manifold or Riemannian space , so called after the German mathematician Bernhard Riemann, is a real manifold, real, smooth manifold ''M'' equipped with a positive-definite Inner product space, inner product ...

s. The main results of that work were related to the following groups of questions: *The external geometrical structure of zero mean curvature surfaces in Euclidean and pseudo-euclidean spaces; spacelike tubes and bands of zero mean curvature, their stability and instability with respect to small deformations, their life-time, branches, connections between branch points and Lorentz invariant characteristics of surfaces; *Phragmén-Lindelöf type theorems for differential forms; Ahlfors type theorems for differential forms with finite or infinite number of different asymptotic tracts; generalizations of Wiman theorem of forms, applications to quasiregular mappings on manifolds; applications of isoperimetric methods to the

Phragmén–Lindelöf principle In complex analysis, the Phragmén–Lindelöf principle (or method), first formulated by Lars Edvard Phragmén (1863–1937) and Ernst Leonard Lindelöf (1870–1946) in 1908, is a technique which employs an auxiliary, parameterized function to pr ...

for quasiregular mappings on manifolds. From 1998-2000 Miklyukov was a visiting professor at Brigham Young University. In 2009 Miklyukov was named a Distinguished Scientist of Russian Federation.

Publications

* * * * *

References

External links

* of Milyukov
Vladimir Miklyukov's obituary
{{DEFAULTSORT:Miklyukov, Vladimir M. 1944 births 2013 deaths Mathematical analysts Mathematics educators 20th-century Russian mathematicians 21st-century Russian mathematicians Soviet mathematicians