Titlebook: Lobachevsky Geometry and Modern Nonlinear Problems; Andrey Popov Book 2014 Springer International Publishing Switzerland 2014 Tchebychev n

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The problem of realizing the Lobachevsky geometry in Euclidean space,ive curvature.We describe the apparatus of fundamental systems of equations of the theory of surfaces in . and discuss specifics of its application to the analysis of surfaces of constant negative Gaussian curvature.

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The sine-Gordon equation: its geometry and applications of current interest, diverse approaches to the investigation of problems connected with the sine-Gordon equation is the intimate association of this equation with surfaces of constant negative curvature, i.e., with pseudospherical surfaces.

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Lobachevsky geometry and nonlinear equations of mathematical physics,etation. The development of this geometric approach to nonlinear equations of contemporary mathematical physics enables us to apply in their study the rather well developed apparatus and methods of non-Euclidean hyperbolic geometry.

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Andrey Popovu ihm sagte: „Höre, wir sind in einem bedeutenden Moment. Entweder wir haben in diesem Augenblick ein Erdbeben, oder wir bekommen eins... Am nächsten Tage“, so berichtete er weiter, „erzählte mein Herr seine Beobachtungen bei Hofe, wobei eine Dame ihrer Nachbarin ins Ohr flüsterte: ‚Höre! Goethe sch

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