Seminar Matematički metodi mehanike, 26. septembar 2011.

• 26. Septembar,  2011
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Naredno predavanje na Seminaru Matematički metodi mehanike održaće se u ponedeljak, 26. septembra 2011. u 11 časova u Matematičkom institutu SANU, Kneza Mihaila 36, treći sprat, sala 301f.

Predavač: Konrad Schoebel (Univerzitet Jena, Nemačka)

Naslov predavanja: GEOMETIJA KILINGOVIH TENZORA NA 3-SFERI

Abstract:
Integrable Killing tensors are used to classify orthogonal coordinates in which the classical Hamilton-Jacobi equation can be solved by a separation of variables. We establish purely algebraic equations characterizing the integrability of Killing tensors on constant curvature manifolds and solve them explicitly on the 3-sphere. We describe the projective variety of integrable Killing tensors and use this to classify all orthogonal separable coordinate systems. Several generalizations of this result will be proposed.

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