References
E. Calabi, Improper Affine Hypersphere of conex Type and a Generalization of Theorem by K. Jogens. Michigan Math. J.5, 105–126 (1958).
B. Y. Chen andS. Houh, Totally real submanifolds of a quaternion projective space. Ann. Mat. Pura Appl.120, 185–199 (1979).
B. Y. Chen andK. Ogiue, On totally real submanifold. Trans. Amer. Math. Soc.193, 257–266 (1974).
N. Ejiri, Totally real minimal immersions ofn-dimensional real space forms inton-dimensional complex space forms. Proc. Amer. Math. Soc.81, 213–216 (1982).
A.-M.Li, U.Simon and G.Zhao, Global Affine Differential Geometry of Hypersurfaces. Berlin-New York 1993.
G. D. Ludden, M. Okumura andK. Yano, A totally real surface inC P 2 that is not totally godesic. Proc. Amer. Math. Soc.53, 186–190 (1975).
H. Naitoh, Parallel submanifolds of complex space forms, I, II. Nagoya Math. J.90, 85–117 (1983).
Y.-G. Oh, Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds. Invent. Math.101, 501–509 (1990).
Y. Ohnita, Totally real submanifolds with non-negative sectional curvature. Proc. Amer. Math. Soc.97, 171–178 (1986).
F. Urbano, Nonnegative curved totally real submanifolds. Math. Ann.273, 315–318 (1986).
L. Vranchen, A.-M. Li andU. Simon, Affine spheres with constant affine sectional curvature. Math. Z.206, 651–658 (1991).
G. Zhao, An Intrinsic Rigidity Theorem on totally Real minimal submanifolds ofC P n (Chinese). J. Sichuan Uni. N.S.E.21, 170–171 (1992).
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The Project Supported by National Nature Science Foundation of China and Tian Yuan Foundation of China.
Thanks are due to the referee for his valuable comments.
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Li, A.M., Zhao, G. Totally real minimal submanifolds inC P n . Arch. Math 62, 562–568 (1994). https://doi.org/10.1007/BF01193745
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DOI: https://doi.org/10.1007/BF01193745