
kalabi ozhukk

deferential jyaamithiyudeyum jyaamitheeya vishakalanathinteyum ganithashaasthra mekhalakalil, kalabi ozhukk oru jyaamitheeya ozhukkaanu, athu oru sankeernamaaya manifoldil oru kahler metrik roopabhedam varuthunnu. krithyamaayi paranjaal, oru kahler manifold nalkiyaal, kalabi ozhukk nalkunnathu
oru thuranna edavelayil ninnu ellah kahler alavukalude shekharathilekkulla oru mapping evideyaanu, vyakthigatha kahler alavukalude scaler vakrathayaan, soochikakal ekapaksheeyamaaya holomorphic kordinettukalumaayi poruthappedunnu. samavaakyathinte valathuvashath naalaamathe derivateevukal ulppedunnathinaal ithu naalam kramatthilulla jyaamitheeya ozhukkaanu.
athe pepparil avatharippicha extremal kahler metriksinte nirmmaanathinulla nirddeshamaayi 1982 ll eugenio kalabi kalabi ozhukk avatharippichu. ithu "" "nte gradient phloo aanu; extremal kahler metriks kalabi functionalinte nirnaayaka poyintukalaanu.
onninu thulyamaaya sankeernamaaya alavulla saahacharyathil kalabi ozhukkinte oru samyojana sidhaantham piottar crusial kandethi. 2020 leeii kanakkanusarichu ozhukk ippozhum nannayi manassilakkappettillettim seuxiong chenum mattullavarum ozhukkinekkurichu niravadhi padanangal nadathiyittundu.

