Ufite aho ahurira nimibare mwishuri wese cg se ukunda story abenshi bazi irizina banyaga akaba yaramenyekanye cyane ko yaba yaravumbuye ibintu byinshi mumibare njyewe igihuha cyangeragaho cyavugaga ko yavumbuye ukunu imirongo cg plan ziri parallele zihurira muri infini, ahari nawe nuko wumvishe or wumvishe ibindi.
uyu mugabo rero ubusazwe yitwa Banyaga Augustin akaba yaravutse 1947
. mumyaka ya cyera sibyaribimenyerewe kwiga cyane kdi kare dore ko mumyumvire bumvagako umuntu usaziye mumashuri ariwe wize uyuwe kumyaka 29 yonyine yaramaze kwibikaho PH.D. DEGREE akaba yarayibonye 1976 ayikuye mubusuwisi muri university ya geneva akirangiza kwiga yahise yerekeza muri america muri new jersey mu institute for advanced study aho naho atamaze igihe dore ko yahamaze only imyaka ibiri 1978 yahise aba assistant prof muri harvard university gusa naho 1982 yahise ahava yerekeza muri boston university gusa naho siyahatinze kuko 1984 yahise yerekeza muri Pennsylvania State University aho nyuma yimyaka 8 yose ubwo ni muri 1992 yahise azamurwa ashyirwa murwego rwa full professor. ubushakashatsi bwe bukaba bwaribanze cyane kuri symplectic topology nubwo bigoye bwose kumva ndetse no gusobanura ibi yibandaho. akaba yarasohoye nibitabo byinshi kurizo topic ze tukaba twavuga nka the structure of classical diffeomorphism ubwo niba wiyizera kubumenyi bwimibare watera akajisho kuricyo gitabo maze ukazatubwira koko niba za line parallele zaraje guhura, gusa sibitabo gusa ahubwo ninumwanditsi wibinyamakuru byimibare muri africa twavuga nga Afrika matematica na African journal of mathematics, nkuko bigaragara kuko nanubu akibarizwa muri Pennsylvanie ntago yigeze agira uruhare direct ku rwanda nko kuhigisha cg indi mirimo
uyu niwe banyaga wumvishe.
gusa kurubu kubona PH.D.Degree kumwaya irimunsi ya 30 sibikiri agashya kuko abize neza harabasore baziryamanye ubu ariko kugera kubikorwa nkibyuyu sibyoroshye kuko namugenziwe Prof siras Rwakabamba banganya imyaka dore ko bose bavutse 1947 we yabonye PH.D muri 1975 mbere ho umwaka umwe uyu banyaga we gusa amaze kwiga yagarutse gukorera ibihugu bya mubyaye aribyo Tanzania nu Rwanda
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