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.


Poprad, Slovakia

15th - 19th August 2016

The 2016 International Summer School entitled "General Relativity: 100 years after Hilbert, Part II", celebrates the anniversary of the Hilbert variational principle in general relativity.

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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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The English translation of the Sonin's original work

About determining maximal and minimal properties of plane curves, Warsawskye Universitetskye Izvestiya (1886) (1-2), 1-68

by R. Matsyuk is now available. In this paper, the inverse problem of the calculus of variations was first considered.

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