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Slant immersions

  • Bang-Yen Chen (a1)

Abstract

A slant immersion is defined as an isometric immersion from a Riemannnian manifold into an almost Hermitian manifold with constant Wirtinger angle. In this article we give some fundamental results concerning slant immersions. Several results on slant surfaces in ℂ2 are also proved.

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Copyright

References

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[1]Chen, B.Y., Geometry of Submanifolds (Dekker, New York, 1973).
[2]Chen, B.Y., ‘Differential geometry of real submanifolds in a Kähler manifold’, Monatsh. Math. 91 (1981), 257274.
[3]Chen, B.Y. and Ogiue, K., ‘On totally real sudmanifolds’, Trans. Amer. Math. Soc. 193 (1974), 257266.
[4]Chen, B.Y. and Morvan, J.M., ‘Propriété riemanniennes des surfaces lagrangiennes’, C.R. Acad. Sci. Paris. Ser I 301 (1985), 209212.
[5]Chen, B.Y. and Morvan, J.M., ‘Geometrie des surfaces lagrangiennes de ℂ2’, J. Math. Pures Appl. 66 (1987), 321335.
[6]Gheysens, L., Verheyen, P. and Verstraelen, L., ‘Characterization and examples of Chen submanifolds’, J. Geom. 20 (1983), 4762.
[7]Lashof, R.K. and Smale, S., ‘On the immersion of manifolds in Euclidean spaces’, Ann. of Math. 68 (1958), 562583.
[8]Lawson, H.B., Lectures on Minimal Submanifolds (Publish or Perish, Berkeley, 1980).
[9]Little, J.A., ‘On singularities of surfaces in E 4’, Bull. Amer. Math. Soc. 75 (1969), 368369.
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