Bundle of projective normals for hyper-zone in non-Euclidean space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A33116738" target="_blank" >RIV/61989592:15310/11:33116738 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Bundle of projective normals for hyper-zone in non-Euclidean space
Original language description
Research of hyper-zones 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. In the paper the regular hyperzones in the multi-dimensional non-Euclidean 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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
7th Conference on Mathematics and Physics on Technical Universities Proceedings of Contributions
ISBN
978-80-7231-815-5
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
113-118
Publisher name
Univerzita obrany
Place of publication
Brno
Event location
Brno
Event date
Sep 22, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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