Nikolai Semyonovich Nadirashvili

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Nikolai Semjonowitsch Nadirashvili ( Russian: Николай Семёнович Надирашвили , English transcription Nikolai Nadirashvili; born June 23, 1955 ) is a Russian mathematician who deals with differential geometry , partial differential equations and analysis.

Nadiraschwili (left) with Stefan Hildebrandt , Oberwolfach 2009

Nadirashvili was a student of Yevgeny Mikhailovich Landis at Lomonosov University , where he received his doctorate in 1981. After that he was at the Institute for Earth Physics and from 1995 at the Institute for Information Transmission of the Russian Academy of Sciences.

In 1990/91 he was a Humboldt Prize winner at Bielefeld University . After that, in the 1990s he was a visiting scientist at the Erwin Schrödinger Institute in Vienna, at IHES and ETH Zurich . In 1997/98 he was Assistant Professor at the Massachusetts Institute of Technology and from 1998 to 2004 Professor at the University of Chicago . He is Research Director of the CNRS at the University of Aix-Marseille (Laboratoire d'Analyse, Topologie, Probabilités, LATP).

He proved the existence (by constructing an example) in the immersed complete, bounded minimal surfaces with negative curvature (nadirashvili surfaces). With this he answered a problem posed by Jacques Hadamard , Eugenio Calabi and Shing-Tung Yau . Previously, by David Hilbert has shown that full always lusted surfaces can not have constant negative curvature and 1963 by Nikolai Efimov , that negative curvature can not have a negative upper bound.

Nadirashvili also achieved significant results in potential theory and on questions relating to the connection of geometry and eigenvalues ​​of the Laplace operator. In 1995 he proved a conjecture by Lord Rayleigh , which has been open since 1877 , that of all clamped flat plates with a given area, the plate bordered by a circle has the lowest natural frequency. With Iosif Polterovich and Dmitry Jakobson he proved the existence of extremal metrics (with respect to the first eigenvalue of the Laplace operator) for the Klein bottle.

Nadiraschwili and Wolfhard Hansen (Bielefeld) solved the one circle problem of John Edensor Littlewood in which they proved that a continuous bounded function f (x), defined in a bounded plane region G, does not have to be harmonic if its value in x is the same is the mean value of the function on at least one circle around x in G ( mean value property ).

Web links

Individual evidence

  1. ↑ Brief biography of Nadirashvili
  2. ↑ Nadirashvili: Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces, Inventiones athematicae, Volume 126, 1996, pp. 457-465
  3. ↑ Nadirashvili, Rayleighs conjecture on the principal frequency of the clamped plate, Arch. Rat. Mech. Anal., 129, 1995, 1-10
  4. ↑ Extremal metric for the first eigenvalue on a Klein bottle, Canad. J. Math. 58, 2006, 381-400
  5. ↑ Hansen, Nadirashvili, Littlewood's one circle problem, J. London Math. Soc., Volume 50, 1994, pp. 349-360
personal data
SURNAME Nadirashvili, Nikolai Semjonowitsch
ALTERNATIVE NAMES Nadirashvili, Nikolai; Надирашвили, Николай Семёнович (Russian spelling)
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH June 23, 1955