
horosphere

hyperbolic jyaamitiloo, horosphere (ledhaa paraspier) anedi hyperbolic "enn"-space loe oka nirdishta hypersurface. idhi oka horoball yokka sarihaddu, perugutunna bantula shreni yokka parimiti, oka sparsha hyper plain mariyu daani sparsha binduvu panchukovadam (oka vaipu). n" = 2 kosam oka horosphere nuu horocycle antaaru.
oka horosphere oka nirdishta binduvu vadda oka sparsha hyper plain panchukune hyper spherela parimitigaa kooda varninchavachhu, endukante vaati trijyaalu anantam vaipu veltaayi. euclidean jyaamitiloo, atuvanti "ananta vyaasaartham gala hyperspeare" oka hyper plain avutundi, conny hyperbolic jyaamitiloo idhi oka horosphere (vakra uparitalam).
charitra.
eee bhavana yokka muulaalu f dwara vyakteekarinchabadina bhaavanalo unnaayi. ell. 1816loe watcher thana guruvu gaas kuu raasina lekhalo. euclidean jyaamitiloo oka golam yokka vyaasaartham anantam vaipu moggu chooputunnanduna daani parimiti oka samatalamani paerkontuu, aidava pratipaadana tappu ayinappatikee, uparitalampai saadhaarana samatalamtho samaanamaina jyaamiti untundani vaaktar dhruveekarinchaaru. horosphere" mariyu "horocycly" anae padaalu lobachevsky kaaranamgaa unnaayi, athanu hyperbolic pradaesamloe horocycle jyaamiti mariyu horosphere euclidean pradaesamloe rekhalu mariyu samatalaaniki samanamani choopinche vividha phalitaalanu sthaapinchaadu. horoball" anae padam vilium thurston kaaranamgaa undhi, athanu hyperbolic 3-manifoldlapy thana paniloo dheenini upayoginchaadu. horosphere mariyu horoball anae padaalu tarachugaa trimiteeya hyperbolic jyaamitiloo upayoginchabadataayi.
namuunaalu.
conformal baall namoonaalo, horizone golaaniki oka golam sparsha dwara horosphere suuchimchabadutumdi. eguva sagam-antariksha namoonaalo, oka horosphere horizone plain kuu sparsaka golamgaa ledhaa horizone plain kii samaantaramgaa plain gaa kanipinchavacchu. hyperboloid namoonaalo, oka horosphere anedi oka plain dwara suuchimchabadutumdi, dheeni normal asymptotic konlo untundi.
vakrata.
oka jaatakamlo klishtamaina parimaanamlo (isotropic) vakrata untundih vakrata edainaa ekkuvagaa unte, uparitalam moosiveyagaladu, oka golaanni istundi, mariyu vakrata edainaa takkuvagaa unte, uparitalam ("n" −1)-dimensional hyper saikilga untundi.

