The Lepage Research Institute

The Lepage Research Institute is a non-profit research organization, established in 2012 by a group of internationally recognized specialists and young experienced scholars from different European and non-European countries. Its programme is basic research in mathematical sciences on the frontiers of differential geometry, mathematical analysis, optimization and control, the calculus of variations, and in applications of mathematical concepts and methods in physics and other sciences.


Professor Gennadi Sardanashvily, the founding editor of the International Journal of Geometric Methods in Modern Physics, passed away in Moscow on September 1, 2016.

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Krakow, Poland

21st - 25th August 2017

The 2017 International Summer School courses:

A) Geometric Control Theory (Y. Sachkov), and

B) Field Theory: Variational Sequences and Bicomplexes (E. Winterroth)

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Atlantis Studies in Variational Geometry

D. Krupka and H. Sun (Editors)

Cover Book


Cover Book




M. Crampin and D.J. Saunders, Cartan Geometries and Their Symmetries, Atlantis Studies in Variational Geometry, Vol. 4., Atlantis Press (Amsterdam–Beijing–Paris) 2016.

G. Sardanashvily, Noether's Theorems, Atlantis Studies in Variational Geometry, Vol. 3., Atlantis Press (Amsterdam–Beijing–Paris) 2016.

D. Zenkov (Ed.), The Inverse Problem of the Calculus of Variations, Atlantis Studies in Variational Geometry, Vol. 2., Atlantis Press (Amsterdam–Beijing–Paris) 2015. Chapters by: A.M.Bloch, D.Krupka, R.Matsyuk, Z.Urban, N.Voicu, J.Volna, and D.Zenkov.

D.Krupka, Introduction to Global Variational Geometry, Atlantis Studies in Variational Geometry, Vol. 1., Atlantis Press (Amsterdam–Beijing–Paris) 2015.


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