Problems with Laplace operator on topological surfaces

This work highlights the problems related to the Laplace operator on topological surfaces such as Mobius strip, Klein bottle and torus. In particular, we discuss oscillations on the surface of the Mobius strip, eigenfunctions and eigenvalues of the Laplace operator on the surface of the Klein bottle...

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Hlavní autoři: M. V. Dolgopolov, M. G. Ivanov, M. Y. Shalaginov
Médium: Článek
Jazyk:English
Vydáno: Samara State Technical University 2011-06-01
Edice:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
On-line přístup:http://mi.mathnet.ru/eng/vsgtu877