Geometricheskie Struktury Na Shestimernykh Nil'potentnykh Gruppakh Li
Smolentsev Nikolay
Geometricheskie Struktury Na Shestimernykh Nil'potentnykh Gruppakh Li
Smolentsev Nikolay
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Rabota posvyashchena izucheniyu geometricheskikh struktur na shestimernykh nil'potentnykh gruppakh Li. Kak izvestno, sushchestvuet 34 klassa izomorfnykh svyaznykh odnosvyaznykh shestimernykh nil'potentnykh grupp Li. Iz nikh tol'ko 26 klassov dopuskayut levoinvariantnye simplekticheskie struktury i tol'ko 18 - kompleksnye struktury. Pri etom sushchestvuet tol'ko 14 klassov, kotorye dopuskayut (psevdo)kelerovy struktury. V dannoy rabote my izuchaem psevdokelerovy, pochti psevdokelerovy, pochti ermitovy i polukelerovy struktury na vsekh klassakh shestimernykh nil'potentnykh grupp Li. Kniga budet polezna studentam, aspirantam i spetsialistam po differentsial'noy geometrii
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