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Meridian surfaces in the Euclidean 4-space are two-dimensional surfaces which are one-parameter systems of meridians of a standard rotational hypersurface. On the base of our invariant theory of surfaces we study meridian surfaces with special invariants. In the present paper we give the complete classification of Chen meridian surfaces and meridian surfaces with parallel normal bundle.
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참고문헌 (19)
참고문헌 신청
S. Carter / 1997 / On generalized Chen and k-minimal immersions / Beitr¨age Algebra Geom 38(1):125~134
S. Carter / 1998 / Partial tubes and Chen submanifolds / J. Geom 63(1-2):30~38
B.-Y. Chen / 1973 / Geometry of Submanifolds / Marcel Dekker, Inc
B.-Y. Chen / 2011 / Pseudo-Riemannian Geometry, δ-Invariants and Applications / World Scientific Publishing Co. Pte. Ltd
U. Dursun / 1997 / On product k-Chen submanifolds / Glasgow Math. J 39(3):243~249
S. Carter / 1998 / Partial tubes and Chen submanifolds / J. Geom 63(1-2):30~38
B.-Y. Chen / 1973 / Geometry of Submanifolds / Marcel Dekker, Inc
B.-Y. Chen / 2011 / Pseudo-Riemannian Geometry, δ-Invariants and Applications / World Scientific Publishing Co. Pte. Ltd
U. Dursun / 1997 / On product k-Chen submanifolds / Glasgow Math. J 39(3):243~249
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