Helicity is the only known integral invariant of the Euler equations, apart from energy, momentum and angular momentum.
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{orawski's main interests were invariants of differential forms, integral invariants of Lie groups, differential geometry and fluid mechanics.
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In 1935 at the Moscow University, Demidovich discussed his PhD thesis, " On the existence of the integral invariant on a system of periodic orbits " and the following year, he was awarded the degree of Ph . D.
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{orawski was a student of eminent Norwegian professor Sophus Lie, the author of the theory of continuous groups ( Lie groups ) . { orawski developed several areas close to the theory of Lie groups and other theories which were based upon it in particular the theories of differential equations and differential geometry, as well as topics from the theory of integral invariants ( new at that time ), and selected problems of kinematics.
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