
twister space

ganitam mariyu saiddhaantika bhouthika saastramlo (mukhyamgaa twister siddhaantam), twister space anedi twister sameekaranam suutram _ 1 yokka parishkarala sanklishta vector space. dheenini 1960laloe roser penros mariyu malcum makkallam varninchaaru. andrew hodges prakaram, naalugu sanklishta sankhyalanu upayoginchi phootaanlu antarikshamlo prayaaninchae vidhananni bhavana cheyadaaniki twister space upayogapadutundi. balaheenamaina anushakti yokka asamaanatanu ardham chesukovadamlo twister space sahaayapadutundani kooda ayana abhiprayapaddaru.
anadhikaarika prerana.
jackwess hudmard yokka (anuvadinchabadina) padaalaloo "nijamaina domainlo rendu satyaala madhya atichinna maargam sanklishta domine gundaa velutundi."anduvalla naalugu dimensional space formula _ 2 nuu adhyayanam chesetappudu daanini formula _ 3 thoo gurtinchadam viluvainadi kaavacchu, ayithe alaa cheyadaaniki canonical maargam lenanduna, badulugaa rendinti madhya dhorani mariyu metriknu gowravinche anni isomorphisms pariganinchabadataayi. sanklishtamaina prakshepaka 3-space suutram _ 4 sanklishta akshaamsaalatoo kalisi atuvanti isomorphismlanu parameter chestundi. eee vidhamgaa oka sanklishta coordinate gurtimpunu vivaristundi mariyu itara rendu suutram _ 2loe oka binduvunu vivaristaayi. suutram _ 2 (takshanam) paie sweeya-dwandwa connectionlatho vector kattalu sanklishta projective 3-space suutram _ 4 paie holomorphic vector kattalaku bijectivega anugunamgaa untaayi.
adhikaarika nirvachanam.
minkovsky space kosam, suutram _ 8 anie suuchistaaru, twister sameekaranaaniki parishkaralu eee roopamlo untaayi.
ikkada suutram _ 10 mariyu suutram _ 11 rendu sthiramaina wheel spinnerlu mariyu suutram _ 12 anedi minkovsky sthalamlo oka binduvu. suutram _ 13 anedi pauli maatrikalu, suutram _ 14 thoo maatrikalapai suuchikalu untaayi. eee twister space anedi naalugu dimensional complexes vector space, dheeni paayintlu formula _ 15 dwara suuchimchabadataayi, mariyu hermician roopamtho untaayi.
idhi samuuhamloo sthiramgaa untundi (2,2) idhi compact cheyabadina minkovsky space time yokka conformal group sii (1,3) yokka naalugu bhagala cover.
minkovsky pradaesamloe unna paayintlu insidence relation dwara twister space yokka upasthaanaalaku sambandhinchinavi.
eee insidence sambandham twister yokka mottam rii-scaling kinda samrakshinchabadutundi, kabatti saadhaaranamgaa okati projective twister space loe panichestundi, idhi formula _ 18 gaa suuchimchabadutumdi, idhi formula _ 4 kii sanklishta manifoldga isomorphicga untundi.
oka point formula _ 20 ichinatlayithe, idhi projective twister space looni oka line kii sambandhinchinadi, ikkada insidence relation nuu formula _ 11 dwara paraamita suutram _ 21 yokka leanier embeddingnu istundi.
prakshepaka twister sthalam mariyu sanklishtamaina sanklishtamaina minkovsky sthalam madhya rekhaganita sambandham twister pradaesamloe rekhalu mariyu rendu-vimaanaala madhya sambandham vale untundi; marinta khachitamgaa, twister sthalam 
idhi genda manifolds formula _ 24 yokka double fibrationtho anubandhinchabadindi, ikkada formula _ 25 anedi projective twister space.
mariyu suutram _ 8 anedi sanklishteekruta minkovsky sthalam
mariyu suutram _ 25 mariyu suutram _ 8 madhya correspondence space
paina perkonna suutram 32 anedi projective space, suutram 33 anedi gaddi, suutram 34 anedi genda manifold. double fibration rendu (penros transform kooda chudandi), formula _ 35 mariyu formula _ 36kii daariteestundi. 
sanklishtamaina sanklishtamaina minkovsky space formula _ 8 plucker embedding dwara formula _ 38loe ponduparachabadindi; chitram clain quadrick.

