Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (2): 152-157.
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Abstract:
The H-theorem and K-theorem for surfaces in the equiaffine space A3 are well-known, In spirit of these investigations, I am going to prove a more generally theorem in this paper.
Key words: ３-ｄｉｍｅｎｓｉｏｎａｌｅｑｕｉａｆｆｉｎｅｓｐａｃｅ A3, Ｗｅｉｎｇａｒｔｅｎｓｎｒｆａｃｅ, Ｑｕａｄｒａｔｉｃｓｕｒｆａｃｅ, Ａｆｆｉｎｅｓｐｈｅｒｅ
Yang Weilong. Result on Equiaffine Weigarten Surfaces in A3[J].Acta mathematica scientia,Series A, 2000, 20(2): 152-157.
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１ ＢｌａｓｃｈｋｅＷ．ＶｏｒｌｅｓｕｎｇｅｎｕｂｅｒｄｉｆｆｅｒｅｎｔｉａｌｇｅｏｍｅｔｒｉｅＩＩ．Ｓｐｒｉｎｇｅｒ，１９２３ ２ ＳｉｍｏｎＵ．Ｈｙｐｅｒｓｕｒｆａｃｅｓｉｎｅｑｕｉａｆｆｉｎｅｄｉｆｆｅｒｅｎｔｉａｌｇｅｏｍｅｔｒｙａｎｄｅｉｇｅｎｖａｌｕｅｐｒｏｂｌｅｍ．ＰｒｏｃＣｏｎｆＤｉｆｆｅｒｅｎｔｉａｌｇｅｏｍｅｔｒｙ，ＣＳＳＲ１９８３，１２７－１３６ ３ ＶｅｃＡ．Ｏｎｅｑｕｉａｆｆｉｎｅｗｅｉｎｇａｒｔｅｎｓｕｒｆａｃｅｓ．Ｃｚｅｃｈｏｓｌｏｖａｋ ＭａｔｈｅｍａｔｉｃａｌＪｏｕｒｎａｌ，１９８７，３７：１１２ ４ ＶｅｃＡ．ＯｎｔｈｅＰｉｃｋｉｎｖａｒｉａｎｔ．ＣｚｅｃｈｏｓｌｏｖａｋｍａｔｈｅｎｚａｔｉｃａｌＪｏｕｒｎａｌ，１９８８，３８：１１３ ５ Ｙａｎｇ Ｗｅｎｍａｏ．Ｓｏｍｅｔｈｅｏｒｅｍｓｏｎｃｏｎｖｅｘｈｙｏｐｅｒｓｕｒｆａｃｅｓｉｎａｎａｆｆｉｎｅｓｐａｃｅ．ｃｈｉｎｅｓｅＡｎｎａｌｓｏｆＭａｔｈ，１９８８，９B，（３）：２９７－３１０ ６ 杨文茂．关于犃３ 中仿射球面的两个定理．数学杂志，１９９３，１３（２）：２４３－２４９ ７ 李安民等．仿射微分几何．四川教育出版社，１９９０ ８ Ｗｅｎｄｌａｎｄ Ｗ Ｌ．ＥｌｌｉｐｔｉｃｓｙｓｔｅｍｓｉｎｔｈｅｐｌａｎｅＰｉｔｍａｎ，１９７９
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