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Rizza manifold
In differential geometry a Rizza manifold, named after Giovanni Battista Rizza,〔The dedication of the work reads:-"''Dedicated to professor G. B. Rizza, who is the originator of the notion of Rizza manifolds.''"〕 is an almost complex manifold also supporting a Finsler structure: this kind of manifold is also referred as almost Hermitian Finsler manifold.〔See .〕
==Historical notes==
The history of Rizza manifolds follows the history of the structure that such objects carry. According to , the geometry of complex Finsler structures was first studied in the paper :〔Note that there is a typo in the bibliography given by Kobayashi: it is incorrectly stated that Rizza's article was published in 1965.〕 however, Rizza announced his results nearly two years before, in the short communications and , proving them in the article , nearly one year earlier than the one cited by Kobayashi. Rizza called this differential geometric structure, defined on even-dimensional manifolds, "Struttura di Finsler quasi Hermitiana":〔"''Almost Hermitian Finsler structure''": see and .〕 his motivation for the introduction of the concept seems to be the aim of comparing two different structures existing on the same manifold.〔 himself states:-"L'esistenza di strutture di tipo diverso su una medesima varietà dà sempre luogo a problemi di confronto (The existence of structures of different kind on the same manifold always gives rise to comparison problems)''".〕 Later started calling this structure "''Rizza structure''", and manifolds carrying it "''Rizza manifolds''".〔
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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