References
CARTER, S. and WEST, A.:Partial tubes about immersed manifolds. Geometriae Dedicata54 (1995), 145–169.
CHEN, B.-Y.:Pseudo-umbilical submanifolds of a Riemannian manifold of constant curvature II. J. Math. Soc. Japan25 (1) (1973), 105–114.
CHEN, B.-Y.:Geometry of Submanifolds. Marcel Dekker, New York 1973.
GHEYSENS, L., VERHEYEN, P. and VERSTRAELEN, L.:Sur les surfaces A ou les surfaces de Chen. C.R. Acad. Sc. Paris I292 (1981), 913–916.
GHEYSENS, L., VERHEYEN, P. and VERSTRAELEN, L.:Characterization and Examples of Chen Submanifolds. J. Geometry20 (1983), 47–62.
HOUH, C. S.:On Spherical A-submanifolds. Chinese J. Math.2 (1974), 128–134.
LI, S. J.:Null 2-type Chen surfaces. Glasgow Math. J.37 (1995), 233–242.
ROUXEL, B.:Ruled A-surfaces in Euclidean space E n. Soochow J. of Math.6 (1980), 117–121.
ROUXEL, B.:A-submanifolds in Euclidean space. Kodai Math. J.4 (1981), 181–188.
ROUXEL, B.:Chen submanifolds. Geometry and Topology of Submanifolds, VI, ed. F. Dillen, I. Van de Woestijne, L. Verstraelen, World Scientific, Singapore (1994), 185–198.
VERSTRAELEN, L.:A-surfaces with flat normal connection. J. Korean Math. Soc.15 (1978), 1–7.
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The second author is supported by Istanbul Technical University
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Carter, S., Dursun, U. Partial tubes and Chen submanifolds. J Geom 63, 30–38 (1998). https://doi.org/10.1007/BF01221236
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DOI: https://doi.org/10.1007/BF01221236