Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (2): 158-162.
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Key words: Ｐａｒａｌｌｅｌｓｅｃｏｎｄｆｕｎｄａｍｅｎｔａｌｆｏｒｍ, Ｐｓｅｕｄｏｕｍｂｉｌｉｃａｌｓｕｂｍａｎｉｆｏｌｄｓ, Ｔｏｔａｌｌｙｇｅｏｄｅｓｉｃ
Song Weidong. On the Pseudo-umbilical Submanifolds with Parallel Second Fundamental Form[J].Acta mathematica scientia,Series A, 2000, 20(2): 158-162.
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１ ＸｕＨ Ｗ．Ｏｎｃｌｏｓｅｄｍｉｎｉｍａｌｓｕｂｍａｎｉｆｏｌｄｓｉｎｐｉｎｃｈｅｄｒｉｅｍａｎｎｉａｎｍａｎｉｆｏｌｄｓ．ＴｒａｎｓＡｍｅｒＭａｔｈＳｏｃ，１９９５，３４７ ２ ＹａｎＳＴ．ＳｕｂｍａｎｉｆｏｌｄｓｗｉｔｈｃｏｎｓｔａｎｔｍｅａｎｃｕｒｖａｔｕｒｅⅠ，Ⅱ．ＡｍｅｒＪＭａｔｈ，１９７４，９６；１９７５，９７ ３ ＬｉＡ Ｍ，ＬｉＭ．Ａｎｉｎｔｒｉｎｓｉｃｒｉｇｉｄｉｔｙｔｈｅｏｒｅｍｆｏｒｍｉｎｉｍａｌｓｕｂｍａｎｉｆｏｌｄｓｉｎａｓｐｈｅｒｅ．Ａｒｃｈ Ｍａｔｈ，１９９２，５８ ４ ＧｏｌｄｂｅｒｇＳＩ．Ｃｕｒｖａｔｕｒｅａｎｄｈｏｍｏｌｏｇｙ．Ｌｏｎｄｏｎ：ＡｃａｄｅｍｉｃＰｒｅｓｓ，１９６２ ５ 宋卫东．关于局部对称空间中的极小子流形．数学年刊，１９９８，１９Ａ（６）：６９３～６９８ ６ 白正国，沈一兵．黎曼几何初步．北京：高等教育出版社，１９９２
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