Algebraicheskaya Teoriya Prostranstv, Blizkikh K Simmetricheskim: Monografiya - Elena Nesterenko - Books - LAP LAMBERT Academic Publishing - 9783848422678 - March 8, 2012
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Elena Nesterenko
Algebraicheskaya Teoriya Prostranstv, Blizkikh K Simmetricheskim: Monografiya Russian edition

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V nastoyashchey monografii provoditsya posledovatel'noe postroenie algebraicheskoy teorii prostranstv affinnoy svyaznosti, blizkikh k simmetricheskim. Simmetricheskie mnogoobraziya imeyut nulevoe tenzornoe pole krucheniya, i pervaya kovariantnaya proizvodnaya tenzora krivizny ravna nulyu. Simmetricheskie prostranstva vklyuchayut v sebya vazhnye dlya prilozheniy giperbolicheskie prostranstva Lobachevskogo i ellipticheskie prostranstva. Rassmatrivayutsya prosimmetricheskie mnogoobraziya affinnoy svyaznosti, to est' prostranstva affinnoy svyaznosti, imeyushchie obshchie geodezicheskie linii s sokhraneniem affinnogo parametra. Prosimmetricheskie prostranstva, voobshche govorya, imeyut nenulevoe tenzornoe pole krucheniya. Provoditsya opisanie na yazyke spetsial'nykh universal'nykh algebr pochtisimmetricheskikh, antisimmetricheskikh, dvustoronnikh prostranstv affinnoy svyaznosti. Postroena algebraicheskaya model' gorizontal'nogo lifta affinnoy svyaznosti na kasatel'noe rassloenie. Ispol'zuetsya teoriya gladkikh lokal'nykh kvazigrupp i lup.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released March 8, 2012
ISBN13 9783848422678
Publishers LAP LAMBERT Academic Publishing
Pages 132
Dimensions 150 × 8 × 225 mm   ·   215 g
Language German  

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