IS-DAAD-Forskerutveksl. Norge-Tyskland

Differential-Geometric Structures: Invariants and Integrals

The Project aims to unite forces of the Norwegian and German research groups and to focus on several important research problems of common interest described below. 1. Computation of number and form of differential invariants characterizing Riemannian and pseudo-Riemannian spaces admitting Kill...

Awarded: NOK 71,608

Project Period: 2020-2022

Location: Troms - Romsa - Tromssa

IS-DAAD-Forskerutveksl. Norge-Tyskland

Homogeneous geometry in low dimension: constructions and classifications

The Project aims to unite forces of the Norwegian and German research groups and to focus on several important research problems of common interest described below. 1. Classification of homogeneous strictly nearly pseudo-Kahler spaces in 6 dimensions. Both groups have an active interest in this...

Awarded: NOK 63,650

Project Period: 2016-2017

Location: Troms - Romsa - Tromssa

IS-DAAD-Forskerutveksl. Norge-Tyskland

Degree of mobility of geometric structures and overdetermined systems of PDE

Degree of mobility of a geometric structure is the dimension of the space of solutions of the corresponding Lie equation. The latter is usually overdetermined. We study overdetermined systems of PDE coming from differential geometry and mathematical physi cs (in particular coming from the theory ...

Awarded: NOK 56,885

Project Period: 2014-2015

Location: Troms - Romsa - Tromssa

IS-DAAD-Forskerutveksl. Norge-Tyskland

Applications of geometric theory of overdetermined systems in differential geometry and mathematical physics

The project aims at investigating geodesics of Riemannian and semi-Riemannian metrics. We wish to achieve two goals: bound chaoticity/complexity of the geodesic flow and understand when it can be described completely. The latter means integrability of the equations and we wish to investigate exi...

Awarded: NOK 48,405

Project Period: 2011-2013

Location: Troms - Romsa - Tromssa

FRINAT-Matematikk og naturvitenskap

Sophus Lie Seminar at the University of Tromsø - 2008

It is a real problem that one experiences isolation performing research at the University of Tromsø. To intensify our investigations we created the scientific-research seminar "Sophus Lie" (named after the great Norwegian mathematician, whose ideas we app ly and develop until nowadays). This is t...

Awarded: NOK 0.15 mill.

Project Period: 2008-2010

Location: Troms - Romsa - Tromssa

F-MAT-Naturvitenskap, matematikk

Conference "Differential Equations: Geometry, Integration Methods and Applications"

The Conference is devoted to geometric methods in differential equations and applications. This is a traditional area of mathematics, having roots in the pioneer works by Norwegian mathematicians Abel and Lie. On the other hand this area of mathematics is still very actual, because nowadays we h...

Awarded: NOK 0.10 mill.

Project Period: 2007-2007

Location: Troms - Romsa - Tromssa

F-MAT-Naturvitenskap, matematikk

Sophus Lie Seminar at the University of Tromsø

It is a real problem that one experiences isolation performing research at the University of Tromsø. To intensify our investigations we created the scientific-research seminar "Sophus Lie" (named after the great norwegian mathematician, whose ideas we app ly and develop until nowadays). This is ...

Awarded: NOK 0.10 mill.

Project Period: 2006-2007

Location: Troms - Romsa - Tromssa

FRINAT-Matematikk og naturvitenskap

DYNAMICAL ASPECTS OF SELF-ORGANIZED CRITICALITY

Lack of sufficiently universal theory of SOC stimulates mathematical investigation of this originally physical field of study. Several mathematical models, like sandpiles or continuous energy model, were proposed to study the phenomenon of SOC. We mention important works by D. Dhar, H. Y. Zhang ...

Awarded: NOK 1.9 mill.

Project Period: 2005-2009

Location: Troms - Romsa - Tromssa