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Geometry |
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Authors: Emanuels Grinbergs
This work examines curves in n-dimensional spaces, as well as varieties contained in such spaces, with the main focus on curves and osculating linear and spherical varieties. Absolute dierential calculus a method almost exclusively used in n-dimensional dierential geometry in recent times is convenient in systematic terms because it enables the determination of all dierential invariantsusing classical techniques. However, it is cumbersome and inconvenient. Since I have sought to examine purely geometric properties and their relationships, I have consistently used vector analysis both independently and in conjunction with direct geometric reasoning, as wellas with Cartesian coordinates.
Comments: 20 Pages. Translated (from Latvian) and submitted by Dainis Zeps
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[v1] 2025-01-10 19:23:42
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