Конформное пространство

Конфо́рмное простра́нство — евклидово пространство, дополненное одной несобственной, то есть бесконечно удаленной, точкой[1].

Конформное пространство изучается в конформной геометрии, при этом в конформном пространстве задается фундаментальная группа, состоящая из точечных преобразований, переводящих сферы (в двумерном пространстве — окружности) в сферы. Тогда с помощью стереографической проекции конформное пространство можно отобразить на абсолют той же размерности проективного пространства размерности на единицу больше с гиперболической метрикой, а фундаментальная группа конформной геометрии изоморфна группе гиперболических движений этого проективного пространства[2].

Наличие одной несобственной точки в конформном пространстве обеспечивает взаимную однозначность его стереографической проекции. В результате при преобразованиях конформной группы несобственная точка может переходить в обычную точку пространства. Поэтому говорят, что в конформном пространстве сфера неразличима с плоскостью (в двумерном пространстве окружность неразличима с прямой), поскольку в этом пространстве плоскость — это сфера, проходящая через несобственную точку[3].

Примечания

  1. ↑ Бушманова Г. В. Конформное пространство, 1979, стб. 1097.
  2. ↑ Бушманова Г. В. Конформное пространство, 1979, стб. 1097—1098.
  3. ↑ Бушманова Г. В. Конформное пространство, 1979, стб. 1098.

Источники

Read other articles:

Erik Meijer (computer scientist)

Erik MeijerErik Meijer in 2009.Born (1963-04-18) 18 April 1963 (age 60)CuraçaoEducationNijmegen University, Ph.D., 1992Known forFunctional programmingHaskell language researchWork on: C#, Visual Basic .NET, LINQ, Volta, reactive programming framework (ReactiveX) for .NET FrameworkAwardsMicrosoft: Outstanding Technical Achievement, 2007; Outstanding Technical Leadership, 2009Scientific careerFieldsComputer science, functional programmingInstitutionsUtrecht UniversityMicrosoftFacebo...

 

Testis

TestisDiagram testis pada manusiaRincianArteriTesticular arteryVenaTesticular vein, Pampiniform plexusSarafSpermatic plexusLimfaLumbar lymph nodesPengidentifikasiBahasa LatintestisMeSHD013737TA98A09.3.01.001TA23576FMA7210Daftar istilah anatomi[sunting di Wikidata] Testis, kelepir, buah zakar, atau buah pelir adalah kelenjar kelamin jantan pada hewan dan manusia. Manusia (pria) mempunyai dua testis yang dibungkus dengan skrotum. Pada mamalia, testis terletak di luar tubuh, dihubungkan deng...

 

Kota Kansas, Missouri

Untuk porsi Kota Kansas di Kansas, lihat Kota Kansas, Kansas. Kota Kansas MissouriKota BenderaJulukan: KC, KCMO, the City of Fountains, Paris of the Plains, and the Heart of AmericaCity boundaries and location within the U.S.Koordinat: 39°05′59″N 94°34′42″W / 39.09972°N 94.57833°W / 39.09972; -94.57833Koordinat: 39°05′59″N 94°34′42″W / 39.09972°N 94.57833°W / 39.09972; -94.57833Negara Amerika SerikatNegara bagia...

Wild Life Sydney

Wildlife park in the heart of the city of Sydney This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Wild Life Sydney – news · newspapers · books · scholar · JSTOR (July 2010) (Learn how and when to remove this template message) Wild Life SydneyWild Life Sydney complex, pictured in 2014, across Darling Harbour33...

 

The Mentalist

American crime drama television series For the 2002 UK play, see The Mentalists. The MentalistGenre Crime drama Mystery thriller Police procedural Created byBruno HellerStarring Simon Baker Robin Tunney Tim Kang Owain Yeoman Amanda Righetti Rockmond Dunbar Emily Swallow Joe Adler Josie Loren ComposerBlake NeelyCountry of originUnited StatesOriginal languageEnglishNo. of seasons7No. of episodes151 (list of episodes)ProductionExecutive producers Bruno Heller Chris Long (2009–2015) Daniel Cero...

 

All of Us Are Dead

All of Us Are DeadPoster promosi KoreaHangul지금 우리 학교는 Hanja只今 우리 學校는 Alih Aksara yang DisempurnakanJigeum Uri Hakgyoneun Genre Aksi Beranjak dewasa Cerita seru Horor Kiamat mayat hidup Pembuat Lee Jae-kyoo Chun Sung-il Kim Nam-su BerdasarkanSchool Attackoleh Joo Dong-geunDitulis olehChun Sung-ilSutradara Lee Jae-kyoo Kim Nam-su Pemeran Park Ji-hu Yoon Chan-young Cho Yi-hyun Lomon Yoo In-soo Lee Yoo-mi Kim Byung-chul Lee Kyu-hyung Jeon Bae-soo Negara asalKorea Sela...

Ministry of Infrastructure (Ukraine)

Ukrainian government ministry Ministry of InfrastructureМіністерство інфраструктуриAgency overviewFormed1917-1920 (as Ministry of Roadways)July 1939 (People's Commissariat of Automobile Transport)[1]Preceding agenciesMinistry of Transportation of Ukraine (1992-2004)Ministry of Transportation and Communication (2004-2010)JurisdictionGovernment of UkraineHeadquarters14, Victory Square, Kyiv, Ukraine, 01135[2]Minister responsibleOleksandr Kubrakov[3&...

 

Transatlantico

Disambiguazione – Se stai cercando altri significati, vedi Transatlantico (disambigua). Questa voce o sezione sull'argomento marina non cita le fonti necessarie o quelle presenti sono insufficienti. Puoi migliorare questa voce aggiungendo citazioni da fonti attendibili secondo le linee guida sull'uso delle fonti. Segui i suggerimenti del progetto di riferimento. L'Andrea Doria, famoso transatlantico italiano affondato nel 1956 a seguito della collisione con il transatlantico svedese S...

 

2020年夏季奧林匹克運動會波蘭代表團

2020年夏季奥林匹克运动会波兰代表團波兰国旗IOC編碼POLNOC波蘭奧林匹克委員會網站olimpijski.pl（英文）（波兰文）2020年夏季奥林匹克运动会（東京）2021年7月23日至8月8日（受2019冠状病毒病疫情影响推迟，但仍保留原定名称）運動員206參賽項目24个大项旗手开幕式：帕维尔·科热尼奥夫斯基（游泳）和马娅·沃什乔夫斯卡（自行车）[1]闭幕式：卡罗利娜·纳亚（皮划艇）&#...

Transact-SQL

Microsoft's and Sybase's proprietary extension to Structured Query Language TSQL redirects here. For the proposed temporal extension of SQL, see TSQL2. This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages) This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sourc...

 

Doug Anthony

Australian politician, Deputy Prime Minister of Australia The Right HonourableDoug AnthonyAC CH FTSE PCDeputy Prime Minister of AustraliaIn office5 February 1971 – 5 December 1972Prime MinisterJohn GortonWilliam McMahonPreceded byJohn McEwenSucceeded byLance BarnardIn office12 November 1975 – 11 March 1983Prime MinisterMalcolm FraserPreceded byFrank CreanSucceeded byLionel BowenLeader of the National Party[a]In office2 February 1971 – 17 Januar...

 

طواف إيميليا 2021

طواف إيميليا 2021 تفاصيل السباقسلسلة104. طواف إيميليامسابقاتسلسلة سباقات الاتحاد الدولي للدراجات للمحترفين 2021 1.Pro‏كأس إيطاليا لركوب الدراجات على الطريق 2021التاريخ2 أكتوبر 2021المسافات195٫3 كمالبلد إيطاليانقطة البدايةكازاليكيو دي رينونقطة النهايةMadonna di San Luca, Bologna [الإنجلي...

Ofanto

River in Italy You can help expand this article with text translated from the corresponding article in Italian. (July 2012) Click [show] for important translation instructions. View a machine-translated version of the Italian article. Machine translation, like DeepL or Google Translate, is a useful starting point for translations, but translators must revise errors as necessary and confirm that the translation is accurate, rather than simply copy-pasting machine-translated text into the ...

 

Twinjet

Jet aircraft powered by two engines This article is about a type of aircraft. For the airline, see Twin Jet. This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages) This article possibly contains original research. Please improve it by verifying the claims made and adding inline citations. Statements consisting only of original research should be removed. (November 2016) (Learn how and when to re...

 

Sabrina Claudio

Sabrina ClaudioSabrina Claudio in concerto a West Hollywood nell'agosto 2018 Nazionalità Stati Uniti GenereContemporary R&BSoul Periodo di attività musicale2016 – in attività StrumentoVoce EtichettaAtlantic Records Album pubblicati5 Studio4 Raccolte1 Sito ufficiale Modifica dati su Wikidata · Manuale Sabrina Claudio (Miami, 19 settembre 1996) è una cantautrice statunitense. Indice 1 Biografia 2 Stile musicale 3 Discografia 3.1 Album 3.2 EP 3.3 Raccolte ...

模塑

此條目需要編修，以確保文法、用詞、语气、格式、標點等使用恰当。 (2023年12月10日)請按照校對指引，幫助编辑這個條目。（幫助、討論） 模具，注塑，注塑成型，是倒模製作的三個工序，例如美術石膏人像、工業生產塑膠花、五金零部件、建築工地倒混凝土等。 此等工藝操作時常為高溫及機器運作，工業意外不少。 A side of die for 25% glass-filled acetal with 2 side pulls. Close up of...

 

Distretti della Serbia

Distretti della Serbia. I distretti della Serbia (in serbo окрузи, okruzi; sing. округ, okrug) sono 29 e costituiscono la suddivisione territoriale di primo livello del Paese. Ciascuno di essi si suddivide a sua volta in comuni (општине, opštine; sing. општина, opština). Ai distretti è equiordinata la città di Belgrado. Indice 1 Lista 2 Cronologia 2.1 Distretti del Kosovo in Serbia 3 Altri progetti 4 Collegamenti esterni Lista Localizzazione Distretto Capoluogo Po...

 

Dopolavoro Aziendale Ampelea 1939-1940

Questa voce sull'argomento stagioni delle società calcistiche italiane è solo un abbozzo. Contribuisci a migliorarla secondo le convenzioni di Wikipedia. Segui i suggerimenti del progetto di riferimento. Voce principale: Calcio Club Giovanile Isola. Dopolavoro Aziendale AmpeleaStagione 1939-1940Sport calcio SquadraCalcio Club Giovanile Isola Allenatore Dino Dudine Presidente Augusto D'Alessio Serie C11º posto nel girone eliminatorio A 1938-1939 1940-1941 Si invita a seguire il modell...

خوان كاميلو زونيغا

خوان كاميلو زونيغا (بالإسبانية: Juan Camilo Zúñiga)‏  معلومات شخصية الاسم الكامل خوان كاميلو زونيغا موسكيرا الميلاد 14 ديسمبر 1985 (العمر 38 سنة)كولومبيا الطول 1.72 م (5 قدم 7 1⁄2 بوصة)[1][1] مركز اللعب مدافع الجنسية كولومبيا  معلومات النادي النادي الحالي واتفورد �...

 

Synod of Gangra

Christian Synod (340) This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources.Find sources: Synod of Gangra – news · newspapers · books · scholar · JSTOR (August 2021) The Synod of Gangra was a council of the Christian church held in the fourth century, at Gangra (in modern Turkey). The exact date is contested, but is g...