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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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In this article, we study surfaces of revolution without parabolic
points in a Euclidean 3-space whose Gauss map G satisfies the
condition △^hG = AG,A∈Mat(3,R), where △^h denotes the Laplace operator
of the second fundamental form h of the surface and Mat(3,R) the
set of 3×3-real matrices, and also obtain the complete classification theorem
for those. In particular, we have a characterization of an ordinary
sphere in terms of it.
목차
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참고문헌 (16)
참고문헌 신청
B. Y. Chen / 1996 / A report on submanifolds of finite type / Soochow J. Math 22 (2) : 117 ~ 337
C. Baikoussis / 1992 / On the Gauss map of ruled surfaces / Glasgow Math. J. 34 (3) : 355 ~ 359
C. Baikoussis / 1993 / On the Gauss map of helicoidal surfaces / Rend. Sem. Mat. Messina Ser. II 16 : 31 ~ 42
C. Baikoussis / 1995 / The Chen-type of the spiral surfaces / Results Math 28 (3) : 214 ~ 223
D. W. Yoon / 2001 / Rotation surfaces with finite type Gauss map in E4 / Indian J. Pure Appl. ath 32 (12) : 1803 ~ 1808
C. Baikoussis / 1992 / On the Gauss map of ruled surfaces / Glasgow Math. J. 34 (3) : 355 ~ 359
C. Baikoussis / 1993 / On the Gauss map of helicoidal surfaces / Rend. Sem. Mat. Messina Ser. II 16 : 31 ~ 42
C. Baikoussis / 1995 / The Chen-type of the spiral surfaces / Results Math 28 (3) : 214 ~ 223
D. W. Yoon / 2001 / Rotation surfaces with finite type Gauss map in E4 / Indian J. Pure Appl. ath 32 (12) : 1803 ~ 1808
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