Differentsial'naya Geometriya Prostranstva Pochti Kompleksnykh Struktur: Prostranstvo Pochti Kompleksnykh Struktur. Ermitovy Struktury Na Proizvedeniyakh Nechetnomernykh Sfer. - Nataliya Daurtseva - Books - LAP LAMBERT Academic Publishing - 9783843304405 - December 7, 2010
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Nataliya Daurtseva
Differentsial'naya Geometriya Prostranstva Pochti Kompleksnykh Struktur: Prostranstvo Pochti Kompleksnykh Struktur. Ermitovy Struktury Na Proizvedeniyakh Nechetnomernykh Sfer. Russian edition

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V rabote izuchaetsya geometriya prostranstva pochti kompleksnykh struktur na gladkom chetnomernom kompaktnom pochti ermitovom mnogoobrazii bez granitsy. Nalichie pochti ermitovoy struktury pozvolyaet vydelit' na etom prostranstve dva vazhnykh podmnozhestva. A imenno, mnozhestvo vsekh ortogonal'nykh (otnositel'no imeyushcheysya metriki) pochti kompleksnykh struktur, i mnozhestvo struktur, polozhitel'no assotsiirovannykh s fundamental'noy formoy. Dokazano, chto mnozhestvo vsekh pochti kompleksnykh struktur, sokhranyayushchikh zadannuyu orientatsiyu, yavlyaetsya lokal'no trivial'nym rassloeniem nad prostranstvom ortogonal'nykh pochti kompleksnykh struktur. Osoboe vnimanie udelyaetsya izucheniyu levoinvariantnykh struktur na proizvedenii trekhmernykh sfer, rassmatrivaemom kak gruppa Li. Opisano mnozhestvo vsekh levoinvariantnykh kompleksnykh struktur etogo mnozhestva. Izucheny invariantnye ermitovy struktury na proizvedenii nechetnomernykh sfer. Polucheny otsenki sektsionnoy krivizny dlya semeystva invariantnykh ermitovykh metrik.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released December 7, 2010
ISBN13 9783843304405
Publishers LAP LAMBERT Academic Publishing
Pages 116
Dimensions 150 × 7 × 225 mm   ·   191 g
Language German  

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