Characterization and examples of Chen submanifolds
Tóm tắt
Từ khóa
Tài liệu tham khảo
T.F. Banchoff, Computer animation and the geometry of surfaces in 3- and 4-space, Invited adress at the International Congress of Mathematicians, Helsinki, 1978.
R.L. Bishop & S.I. Goldberg, Tensor analysis on manifolds, The Macmillan Co, New York, 1968.
O. Borůvka, Sur les hypercirconférences et certaines surfaces paraboliques dans l'espace euclidien à quatre dimensions. Publications Fac. Sc. de l'Univ. Masaryk, nℴ 146, Brno, 1931.
B.-Y. Chen, Geometry of submanifolds, Marcel Dekker, New York, 1973.
B.-Y. Chen, Pseudo-umbilical submanifolds of a Riemannian manifold of constant curvature II, J. Math. Soc. Japan, 25(1) (1973), 105–114.
B.-Y. Chen, Some conformal invariants of submanifolds and their applications, Boll. U.M.I., (4) 10 (1974), 380–385.
N. Ejiri, A counter example for Weiner's open question, Indiana Univ. Math. J., to appear.
L. Gheysens, P. Verheyen & L. Verstraelen, Sur les surfacesA on les surfaces de Chen, C.R. Acad. Sc. Paris, I 211 (1981).
C.-S. Houh, On sphericalA-submanifolds, Chinese J. Math., 2(1) (1974), 128–134.
B. Rouxel, RuledA-surfaces in Euclidean space En, Soochow J. Math., 6 (1980), 117–121.
B. Rouxel, Sur lesA-surfaces d'un espace temps de Minkowski M4, Riv. Math. Univ. Parma, à paraÎtre.
B. Rouxel, Sur une famille deA-surfaces d'un espace euclidien E4, Proc. 10 österreichischer Mathematiker Kongress, Innsbruck, 1981, 185.
L. Verstraelen,A-surfaces with flat normal connection, J. Korean Math. Soc., 15 (1 (1978), 1–7.
G. Vranceanu, Surfaces de rotation dans E4, Rev. Roum. Math. Pures Appl., XXII (6) (1977), 857–862.
J. Weiner, personal communications.