| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2021 |
| Язык | украинский |
|
Костин Андрей Викторович, автор
|
| Библиографическое описание на языке оригинала |
Kostin A. V. “Деякi узагальнення задачi про тiнь в просторi Лобачевського”. Ukrains'kyi Matematychnyi Zhurnal, Vol. 73, no. 1, Jan. 2021, pp. 61 -68, doi:10.37863/umzh.v73i1.2397. |
| Аннотация |
We consider the problem of shadow in the Lobachevsky space.
This problem can be treated as the problem of finding the conditions that ensure that the points belong to the generalized convex hull of a family of sets.
We determine the boundary values of parameters, for which the same configurations of balls ensure that the point belongs to a generalized convex hull of balls in the Euclidean and hyperbolic spaces.
In addition to balls, we consider families of horoballs, as well as combinations of balls and horoballs. |
| Ключевые слова |
problem of shadow, Lobachevsky space, generalized convexity, sphere, ball, horocycle, horosphere, horoball |
| Название журнала |
Ukrainian Mathematical Journal
|
| URL |
http://umj.imath.kiev.ua/index.php/umj/article/view/2397 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=246659 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Костин Андрей Викторович |
ru_RU |
| dc.date.accessioned |
2021-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2021-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2021 |
ru_RU |
| dc.identifier.citation |
Kostin A. V. “Деякi узагальнення задачi про тiнь в просторi Лобачевського”. Ukrains'kyi Matematychnyi Zhurnal, Vol. 73, no. 1, Jan. 2021, pp. 61 -68, doi:10.37863/umzh.v73i1.2397. |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=246659 |
ru_RU |
| dc.description.abstract |
Ukrainian Mathematical Journal |
ru_RU |
| dc.description.abstract |
We consider the problem of shadow in the Lobachevsky space.
This problem can be treated as the problem of finding the conditions that ensure that the points belong to the generalized convex hull of a family of sets.
We determine the boundary values of parameters, for which the same configurations of balls ensure that the point belongs to a generalized convex hull of balls in the Euclidean and hyperbolic spaces.
In addition to balls, we consider families of horoballs, as well as combinations of balls and horoballs. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
problem of shadow |
ru_RU |
| dc.subject |
Lobachevsky space |
ru_RU |
| dc.subject |
generalized convexity |
ru_RU |
| dc.subject |
sphere |
ru_RU |
| dc.subject |
ball |
ru_RU |
| dc.subject |
horocycle |
ru_RU |
| dc.subject |
horosphere |
ru_RU |
| dc.subject |
horoball |
ru_RU |
| dc.title |
Some generalisation of the shadow problem in the Lobachevsky space |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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