On normals of manifolds in multidimensional projective space

Grebenyuk, Marina, Mikeš, Josef (2013) On normals of manifolds in multidimensional projective space Annales Mathematicae et Informaticae. 42. pp. 23-28. ISSN 1787-5021 (Print), 1787-6117 (Online)

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In the paper the regular hyper-zones in the multi-dimensional non-Eucli- dean space are discussed. The determined bijection between the normals of the first and second kind for the hyper-zone makes it possible to construct the bundle of normals of second-kind for the hyper-zone with assistance of certain bundle of normals of first-kind and vice versa. And hence the bundle of the normals of second-kind is constructed in the third-order differential neighbourhood of the forming element for hyper-zone. Research of hyperzones and zones in multi-dimensional spaces takes up an important place in intensively developing geometry of manifolds in view of its applications to mechanics, theoretical physics, calculus of variations, methods of optimization. Keywords: non-Euclidean space, regular hyper-zone, bundle of normals, bijection

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Nyelv: angol
Kötetszám: 42.
ISSN: 1787-5021 (Print), 1787-6117 (Online)
Felhasználó: Tibor Gál
Dátum: 26 Feb 2019 18:15
Utolsó módosítás: 26 Feb 2019 18:15
URI: http://publikacio.uni-eszterhazy.hu/id/eprint/2911
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