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ItiswellknownthattheBergman ,Carath啨ｏｄｏｒｙ ,KobayashiandEinstein K hlermetricsarefourclassicalinvariantmetricsincomplexanaly sis .TheBergmanmetric(denotedbyB)wasintro ducedbyBergmanforone[1] in 192 1orseveralvari ables[2 ] in 1933.Carath啨ｏｄｏｒｙｉｎｔｒｏｄｕｃｅｄｔｈｅｉｎｖａｒｉ antdistancein 192 6 [3] andReiffenintroducedthein variantmetricin 196 3[4 ] ,thereforetheCarath啨ｏｄｏｒｙｍｅｔｒｉｃ (denotedbyC)isalsocalledCarath啨ｏｄｏｒｙ Reiffenmetric .TheKobayashimetric (d… 相似文献