Ferapontov, E. V. Dirac reduction of the Hamiltonian operator \(\delta^{IJ}d/dx\) to a submanifold of Euclidean space with flat normal connection. (English. Russian original) Zbl 0802.58023 Funct. Anal. Appl. 26, No. 4, 298-300 (1992); translation from Funkts. Anal. Prilozh. 26, No. 4, 83-85 (1992). The aim of the paper is to write out an explicit suitable form for the so-called Dirac reduction, in a special system of coordinates of the manifold of constraints with a flat normal connection. Reviewer: W.M.Oliva (Lisboa) Cited in 7 Documents MSC: 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 70H05 Hamilton’s equations Keywords:Hamiltonian operator; Dirac reduction; constraints; flat normal connection PDFBibTeX XMLCite \textit{E. V. Ferapontov}, Funct. Anal. Appl. 26, No. 4, 1 (1992; Zbl 0802.58023); translation from Funkts. Anal. Prilozh. 26, No. 4, 83--85 (1992) Full Text: DOI References: [1] P. Dirac, Lectures on Quantum Mechanics (1968). [2] E. V. Ferapontov, Funkts. Anal. Prilozhen.,25, No. 3, 37-49 (1991). [3] Yu. N. Sidorenko, Zap. Nauchn. Sem. LOMI,161, No. 7, 76-87 (1987). [4] O. I. Mokhov and E. V. Ferapontov, Usp. Mat. Nauk,45, No. 3, 191-192 (1990). [5] M. A. Akivis, Dokl. Acad. Nauk. SSSR,149, No. 6, 1247-1249 (1963). [6] B. A. Dubrovin and S. P. Novikov, Dokl. Acad. Nauk. SSSR,270, No. 4, 781-785 (1983). [7] E. V. Ferapontov and M. V. Pavlov, Physica D,52, 211-219 (1991). · Zbl 0742.35055 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.