On geometry and mechanics

2017/11/25 by Nikolaos E. Sofronidis, Sofronidis, Nikolaos E.
Mathematics · #03E15 #03E65 #26B99 #49J10 #53A05 #70H03 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:03E15 #msc:03E65 #msc:26B99 #msc:49J10 #msc:53A05 #msc:70H03

paper · pdf · doi:10.48550/arxiv.1711.09275

arxiv created 2017/11/25 · arxiv updated 2017/11/28

Abstract

Our purpose in this article is first, following [14], to find the topological upper limits of projections of secant planes to C¹ surfaces and the topological upper limits of projections of secant hyperplanes to C¹ hypersurfaces and second to prove that every C² space curve can be the solution of the principle of stationary action.

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