Форма представления | Статьи в зарубежных журналах и сборниках |
Год публикации | 2021 |
Язык | английский |
|
Костин Андрей Викторович, автор
|
Библиографическое описание на языке оригинала |
Kostin, A. Some Generalizations of the Shadow Problem in the Lobachevsky Space./Kostin A.V.// Ukr Math J - 2021 - V.73, №1- pp.67-75. https://doi.org/10.1007/s11253-021-01908-z |
Аннотация |
We consider the problem of shadow in the Lobachevsky space. This problem can be treated as the problem of finding conditions guaranteeing that points belong to the generalized convex hull of a family of sets. We determine the limit values of the parameters for which the same configurations of balls guarantee that a point belongs to the generalized convex hull of balls in the Euclidean and hyperbolic spaces. Parallel with families of balls, we consider families of horoballs, as well as certain combinations of balls and horoballs. |
Ключевые слова |
Problem of Shadow, ball, horoball, Lobachevsky Space |
Название журнала |
Ukrainian Mathematical Journal
|
URL |
https://link.springer.com/article/10.1007/s11253-021-01908-z |
Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=255995 |
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. Some Generalizations of the Shadow Problem in the Lobachevsky Space./Kostin A.V.// Ukr Math J - 2021 - V.73, №1- pp.67-75. https://doi.org/10.1007/s11253-021-01908-z |
ru_RU |
dc.identifier.uri |
https://repository.kpfu.ru/?p_id=255995 |
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 conditions guaranteeing that points belong to the generalized convex hull of a family of sets. We determine the limit values of the parameters for which the same configurations of balls guarantee that a point belongs to the generalized convex hull of balls in the Euclidean and hyperbolic spaces. Parallel with families of balls, we consider families of horoballs, as well as certain combinations of balls and horoballs. |
ru_RU |
dc.language.iso |
ru |
ru_RU |
dc.subject |
Problem of Shadow |
ru_RU |
dc.subject |
ball |
ru_RU |
dc.subject |
horoball |
ru_RU |
dc.subject |
Lobachevsky Space |
ru_RU |
dc.title |
Some Generalizations of the Shadow Problem in the Lobachevsky Space./ |
ru_RU |
dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|